Free Printable Mensuration

1.

Find the hypotenuse of a right angled triangle if its two other sides are 1.4cm and 4.8cm.

a)

4.6cm

b)

5.0cm

c)

5.2cm

d)

5.3cm

e)

5.5cm

2.

Find DC if AD = 8cm, AB = 12cm and BC = 10cm. The diagram is not drawn to scale.

a)

18cm

b)

19cm

c)

20cm

d)

22cm

e)

23cm

3.

If the rectangle pictured measures 15 m × 6 m, what is the perimeter of the compound shape? Round your answer to two decimal places.

a)

39.42m²

b)

40.71m²

c)

45.42m²

d)

46.71m²

e)

54.85m²

4.

What is the area of this triangle if BC = 10 cm and AD = 6 cm?

a)

30 cm²

b)

45 cm²

c)

60 cm²

d)

75 cm²

e)

90 cm²

5.

Find the area of a trapezium with parallel sides 7 cm and 9 cm, and height 5 cm.

a)

20 cm²

b)

34 cm²

c)

40 cm²

d)

60 cm²

e)

80 cm²

6.

If the radius of the circle is 2 m and angle a = 90º, what is the area of the shaded shape below? (Round your answer to one decimal place).

a)

2.4 m²

b)

3.1 m²

c)

4.0 m²

d)

4.1 m²

e)

6.3 m²

7.

A rectangular garden measuring 10 m × 5 m is edged with a 1 m wide path. What is the area of the path?

a)

16 m²

b)

25 m²

c)

32 m²

d)

34 m²

e)

36 m²

8.

A circle with a diameter of 3.4 cm is cut out of a rectangle measuring 8.3 cm × 19.0 cm. What is the area of the remaining part of the rectangle? Round your answer to one decimal place.

a)

121.4 cm²

b)

133.7 cm²

c)

148.6 cm2

d)

157.7 cm²

e)

166.8 cm²

9.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

108 km³

b)

324 km³

c)

216 km³

d)

648 km³

10.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

a)

157.1 $m^3$

b)

31.4 $m^3$

c)

471.2 $m^3$

d)

208.6 $m^3$

11.

What is the area of the circle to the nearest tenth (use the $\pi$ button)?

a)

113.1 $cm^2$

b)

452.4 $cm^2$

c)

37.7 $cm^2$

d)

18.8 $cm^2$

12.

What is the area of the irregular surface?

a)

1400 mm²

b)

1450 mm²

c)

1500 mm²

d)

1200 mm²

13.

What is the area of the shaded portion, Equilateral Triangle side is 6cm and circle radius is 1.5cm?

a)

8.52 cm²

b)

12.75 cm²

c)

9.5 cm²

d)

12.25 cm²

14.

What is the area of the irregular surfaces?

a)

4800 mm²

b)

4820 mm²

c)

4830 mm²

d)

4843 mm²

15.

What is the length of arc of a sector, whose perimeter is 64.8cm and radius is 12.4 cm?

a)

40 cm

b)

45 cm

c)

40.8 cm

d)

42 cm

16.

What is the area of the sector, if the diameter is 12 cm and the angle is 60°?

a)

18.0 cm²

b)

17.75 cm²

c)

19.00 cm²

d)

18.84 cm²

17.

What is the formula for area of the segment of a circle?

a)

Area of the sector - Area of the triangle

b)

Area of the circle

c)

Area of the sector

d)

Area of the triangle - Area of the sector

18.

What is the area of the circle, if the circumference of the circle is 44cm?

a)

128 cm²

b)

130 cm²

c)

154 cm²

d)

129 cm²

19.

What is the area of the irregular surfaces?

a)

2600 unit²

b)

2590 unit²

c)

2625 unit²

d)

2620 unit²

20.

What is the radius of the semicircle, if the circumference of the semicircle is 28.26 cm?

a)

5.49 cm

b)

6.49 cm

c)

8.5 cm

d)

8.75 cm

21.

What is the diameter of the semicircle, if the circumference of the semicircle is 21.98 cm?

a)

8.55 cm

b)

8 cm

c)

7.55 cm

d)

7 cm

22.

What is the diameter of the circle, if the area of the circle is 706.5cm²?

a)

29 cm

b)

29.5 cm

c)

30 cm

d)

30.5 cm

23.

What is the area of the semicircle, if the diameter is 14 cm?

a)

70 cm²

b)

76.93 cm²

c)

75.06 cm²

d)

86.93 cm²

24.

What is the area of the lamina?

a)

1470.55

b)

1473.66

c)

1472

d)

1472.5

25.

What is the area of shaded portion whose OD = 38 mm, ID = 32 mm?

a)

325.4 mm²

b)

329.7 mm²

c)

305.5 mm²

d)

320.5 mm²

26.

What is the area of shaded portion?

a)

1000 mm²

b)

1500 mm²

c)

1100 mm²

d)

1075 mm²

27.

Harvey is filling a fish tank 25 inches long, 12 inches wide, and 14 inches tall. He only needs to fill it 3/4 full. How many gallons of water will it take if 1 gallon = $6in^3$

a)

3150 gallons

b)

6 gallons

c)

4200 gallons

d)

525 gallons

28.

The Scott family wants to fill their swimming pool to the very top with water. The pool is 50 meters long and 25 meters wide. The pool is 10 meters deep. How much water will the pool hold?

a)

12500 m³

b)

1250 m³

c)

500 m³

d)

250 m³

29.

Beth used 30 cubes to build a rectangular prism that was 5 cubes long, 3 cubes wide, and 2 cubes tall. She decided to take it apart and build another rectangular prism with the same 30 cubes but different dimensions. What could the dimensions of the new prism be?

a)

15x10x5

b)

15x15x1

c)

10x1x3

d)

10x10x10

30.

A rectangular cake pan measures 13in x 21in x 5in. A circular cake pan has a diameter of 21in and is 4in tall. Which pan would result in more cake?

a)

rectangular

b)

circular

c)

both are the same

d)

no one likes cake

31.

A toy company makes sandboxes with dimensions of 6in x 5in x 1.3in. A customer wants to buy a sandbox and 40 in³ of sand. Did the customer buy too much sand, too little, or a good amount?

a)

way too much

b)

not even close enough

c)

a really good amount

d)

sand is gross

32.

Two spheres (M and N) have a volume of 250cm³ and 750cm³ respectively. What is the ratio of their radii?

a)

1/3

b)

39/56

c)

25/81

d)

8/10

33.

5 metal cubes with a side of 5cm are melted down and casted into a spherical ball. What is the volume of that sphere?

a)

125 cm³

b)

25 cm³

c)

833 cm³

d)

625 cm³

34.

The cargo-carrying portion of Billy's truck measures 8.3 x 3 x 4.2. How much gravel can Billy carry in a load?

a)

15.5 units cubed

b)

104.6 units cubed

c)

87.4 units cubed

d)

30 units cubes

35.

The pedestal on which a statue is raised is a rectangular concrete solid measuring 9 feet by 9 feet by 6 feet. How much is the cost of the concrete pedestal if the price for concrete is $70 per cubic feet?

a)

$2835

b)

$315

c)

$105

d)

$34020

36.

JimBob stores his hamster food in a can that is 8 cm tall and has a diameter of 6 cm. He stores his ferrets food in a can that is 10 cm tall and has a 5 cm diameter. Which can holds more food?

a)

the Hamsters

b)

the Ferrets

c)

They are the same

d)

animals are gross

37.

Gomer has a super-jumbo-sized drip coffee maker. The beverage is produced as hot water filters through a cone-shaped vessel containing coffee grounds. The cone has a height of 3 inches and a diameter of one foot. Assuming that the cone is filled with water, and the water is dripping out at a rate of 10 cu. in. per minute, how long will it take for all of the water to pass through?

a)

a little over 11 minutes

b)

under 5 minutes

c)

can not determine

d)

2 hours

38.

Zoe delivers muffins for the Muffin-O-Matic muffin company. Each muffin is packed in its own little box. An individual muffin box has the shape of a cube measuring 3 inches on each side. Zoe packs the individual muffin boxes into a larger box. The larger box is also in the shape of a cube, measuring 2 feet on each side. How many of the individual muffin boxes can fit into the larger box?

a)

8

b)

16

c)

64

d)

512

39.

A spherical container with a radius of 4 feet is filled with a gas that cost $12 per cubic foot. What is the total value of gas in the container?

a)

$804.24

b)

$268.08

c)

$3216.99

d)

$9650.88

40.

GraceAnn is digging a hole for a rectangular swimming pool measuring 38 feet long by 22 feet wide by 8 feet deep. How much water will the swimming pool hold, assuming that 1 cubic foot = 7.5 gallons.

a)

891.73 gallons

b)

50160 gallons

c)

37620 gallons

d)

752.40 gallons

41.

A farmer has a playhouse (cube with rectangular pyramid on top) to hold his feed for his chickens. How much grain can he fit inside the playhouse if the cube has a side length of 5 feet and the overall height of the playhouse is 12 feet?

a)

216.7 cubic feet

b)

166.7 cubic feet

c)

225 cubic feet

d)

183.3 cubic feet

42.

A city has a population density of 1,027 people per square mile. If the city has an area of 136 square miles, what is the total population of the city?

a)

428593 people

b)

8 people

c)

139672 people

d)

7 people

43.

For a certain species of animal to survive, the population density must be less than 15 animals per square mile. In a rectangular wildlife preserve measuring 10 miles by 15 miles, scientists counted 3,740 animals. Is there enough area for all the animals to survive?

a)

no, there are too many animals per square mile.

b)

Yes, there is plenty of room

c)

It is border line crowded.

d)

save the whales

44.

If the density of a diamond is 3.5 g/cm³, what would be the mass of the diamond if the volume is .5 cm³?

a)

643g

b)

.14g

c)

7g

d)

1.8g

45.

If an aluminum can has a weight of 96.5g and a density of 2.7g/cm³, what is its volume?

a)

35.7 cubed centimeters

b)

538 cubed centimeters

c)

260.55 cubed centimeters

d)

.876 cubed centimeters

46.

If 96.5 grams of gold has a volume of 5 cubed centimeters, what is the density of the gold?

a)

485.2 g/cm³

b)

53 g/cm³

c)

19.3 g/cm³

d)

253 g/cm³

47.

A cuboid is of dimensions (90*60*30) cm. How many small cubes with side 6 cm can be placed in the given cuboid?

a)

500

b)

750

c)

1000

d)

1250

48.

If each edge of a cube is doubled, how many times will its surface area increases?

a)

2

b)

4

c)

8

d)

16

49.

The ratio of volume of two cylinders having same height and with radii in the ratio 1:3 is

a)

1:3

b)

1:6

c)

1:9

d)

1:81

50.

How many cubic cm of juice can be poured in a cuboidal can whose dimensions are 15cm×10cm×25cm.

a)

2000

b)

2250

c)

3000

d)

3750

51.

If the area of the base of a cylinder is 154 sq cm and its height is 7 cm. What is the volume of the cylinder?

a)

22 cu cm

b)

536 cu cm

c)

1078 cu cm

d)

266 cu cm

52.

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle?

a)

6

b)

8

c)

3

d)

19

53.

#4) A movie screen has an area of 143 square feet. The length of the screen is 2 feet more than the width. What is the length of the screen?

a)

10

b)

11

c)

12

d)

13

54.

If the area of a rectangular garden is x²+ 9x - 36, find an expression for the garden’s width and length.

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

55.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

56.

When a sphere has a volume of 972π, what is the radius of the sphere?

a)

9

b)

7

c)

18

d)

21

57.

Which equation would you use to find the volume of this composite figure?

a)

π(2)²(8) + ⁴/₃π(2)³

b)

π(2)²(4) + ⁴/₃π(2)³

58.

Calculate the surface area.

a)

8160 cm²

b)

2400 cm²

c)

3460 cm²

d)

2300 cm²

59.

Find the surface area of the roll of duct tape.

a)

18.8 cm²

b)

37.7 cm²

c)

44.0 cm²

d)

28.3 cm²

60.

Frustum of a right circular cone of height 16cm with radii of its ends as 8 cm and 20 CM then the volume of the frustum is

a)

3328π

b)

3228π

c)

3240π

d)

3340π

61.

The number of bricks each measuring 50cm X 30cm X 20cm that will be required to build a wall whose dimensions are 5m X 3m X 2m is

a)

1000

b)

2000

c)

3000

d)

5000

62.

Find the area of the composite figure.

a)

28m

b)

34m²

c)

40m²

63.

The area of a rhombus whose diagonals are 9 cm and 7 cm is ______

a)

16 cm²

b)

63 cm²

c)

63 cm²

d)

16 cm²

64.

Frustum of a right circular cone of height 16cm with radii of its ends as 8 cm and 20 CM then the volume of the frustum is

a)

3328π

b)

3228π

c)

3240π

d)

3340π

65.

If the base of the triangle is doubled and height is halved, its area will be _____

a)

Doubled

b)

Halved

c)

one-fourth

d)

Same

66.

The ratio of the volumes of a cylinder cone and sphere if each has the same diameter and same height is

a)

1:2:3

b)

2:1:3

c)

1:3:2

d)

3:1:2

67.

If the radius of the base of a right circular cylinder is halved keeping the same height then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

a)

1:2

b)

1:4

c)

1:6

d)

1;8

68.

If the radius of the base of a cone is tripled and the height is doubled then the volume is

a)

Made 6 times

b)

Maid 18 times

c)

Maid 12 times

d)

Unchanged

69.

Total surface area of a hemisphere is how much times the square of its radius

a)

π

b)

4π

c)

3π

d)

2π

70.

The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be

a)

12cm

b)

10cm

c)

13cm

d)

5cm

71.

The curved surface area of a a right circular cone of height 15 cm and base diameter 16 cm is

a)

60π

b)

68π

c)

120π

d)

136π

72.

A rectangular piece of paper is 22 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.

(a)

73.

Consider the volumes of the following objects and arrange them in decreasing order of their volumes: 1. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm. 2. A cube of each side 4 cm. 3. A cylinder of radius 3 cm and length 3 cm. 4. A sphere of radius 3 cm.

a)

4, 3, 2, 1

b)

4, 2, 3, 1

c)

4, 3, 1, 2

d)

None of these

74.

A hemispherical bowl is filled with hot water to the brim. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If diameter of the bowl is the same as that of the vessel and the volume of the hot water in the cylindrical vessel is x% of the volume of the cylindrical vessel then x = ?

(a)

75.

In a circular field, there is a rectangular tank of length 130 m and breadth 110 m. If the area of the land portion of the field is 20350 m² then the radius of the field is:

(a)

76.

A tank internally measuring 150 cm × 120 cm × 100 cm has 1281600 cm³ water in it. Porous bricks are placed in the water until the tank is full up to its brim. Each brick absorbs one tenth of its volume of water. How many bricks, of 20 cm × 6 cm × 4 cm, can be put in the tank without spilling over the water?

(a)

77.

A spherical metal ball of radius 10 cm is molten and made into 1000 smaller spheres of equal sizes. In this process the surface area of the metal is increased by n %. Then n =?

(a)

78.

Suresh, who runs a bakery, uses a conical shaped equipment to write decorative labels (e.g., Happy Birthday etc.) using cream. The height of this equipment is 7 cm and the diameter of the base is 5 mm. A full charge of the equipment will write 330 words on an average. How many words can be written using two fifth of a litre of cream?

(a)

79.

Your friend’s cap is in the shape of a right circular cone of base radius 14 cm and height 26.5 cm. The approximate area of the sheet required to make 7 such caps is

(a)

80.

In an engineering college there is a rectangular garden of dimensions 34 m by 21 m. Two mutually perpendicular walking corridors of 4 m width have been made in the central part and flowers have been grown in the rest of the garden. The area under the flowers is:

(a)

81.

A right circular cone is enveloping a right circular cylinder that rests on the base of the cone. If the radius and the height of the cone is 4 cm and 10 cm respectively, and the radius of the cylinder is ‘r’ cm, the largest possible curved surface area of the cylinder is ‘ a rb r π ( − ) ’.Then a b x = ?

(a)

82.

Find the area of the circle circumscribed about a square each side of which is 10 cm.

a)

314.28 cm²

b)

157.14 cm²

c)

157.14 cm²

d)

78.57 cm²

83.

A cube whose edge is 20 cm long has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest area possible?

a)

85.71 cm²

b)

257.14 cm²

c)

514.28 cm²

d)

331.33 cm²

84.

The areas of three adjacent faces of a cuboid are x, y, z. If the volume is V, then V² will be equal to

a)

xy/z

b)

yz/x²

c)

x² y² /z²

d)

xyz

85.

In the adjacent figure, find the area of the shaded region. (Use $\pi$ = 22/7)

a)

15.28 cm²

b)

15.28 cm²

c)

30.57 cm²

d)

40.76 cm²

86.

The diagram represents the area swept by the wiper of a car. With the dimensions given in the figure, calculate the shaded area swept by the wiper.

a)

102.67 cm

b)

205.34 cm

c)

51.33 cm

d)

208.16 cm

87.

Find the area of the quadrilateral ABCD. (Given, 3 = 1.73)

a)

452 sq units

b)

269 sq units

c)

134.5 sq units

d)

1445 g cm

88.

The base of a pyramid is a rectangle of sides 18 m x 26 m and its slant height to the shorter side of the base is 24 m. Find its volume.

a)

156 407

b)

78 407

c)

312 407

d)

234 407

89.

A wire is looped in the form of a circle of radius 28 cm. It is bent again into a square form. What will be the length of the diagonal of the largest square possible thus?

a)

44 cm

b)

$44\ \sqrt[]{2}$

c)

176/2 $\sqrt[]{2}$

d)

$88\ \sqrt[]{2}$

90.

If x units are added to the length of the radius of a circle, what is the number of units by which the area of the circle is increased?

(a)

91.

If x units are added to the length of the radius of a circle, what is the number of units by which the area of the circle is increased?

(a)

92.

A man walked diagonally across a square lot. Approximately, what was the percentage reduction in the total distance that he walked vis-à-vis the distance he would have walked had he walked along the edges? (To the closest 1%)

(a)

93.

The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by

a)

12.5%

b)

10.25%

c)

10.5%

d)

11.25%

94.

The biggest possible cube is taken out of a right solid cylinder of radius 15 cm and height 20 cm respectively. What will be the volume of the cube?

(a)

95.

What is the least number of square tiles required to pave the floor of a room 1517 cm long and 902 cm broad?

(a)

96.

A wire, if bent into a square, encloses an area of 484 cm² . This wire is cut into two pieces with the bigger piece having a length three-fourth of the original wire’s length. Now, if a circle and a square are formed with the bigger and the smaller piece respectively, what would be the area enclosed by the two pieces?

(a)

97.

A spiral staircase is made up of 13 successive semicircles, with center alternately at A and B, starting with center at A. The radii of semicircles, thus developed, are 0.5 cm, 1.0 cm, 1.5 cm, and 2.0 cm and so on. The total length of the spiral is: Use $\pi=\frac{22}{7}$

(a)

98.

A cylinder, a hemisphere and a cone stand on the same base and have the same heights. The ratio of the areas of their curved surface is:

a)

2 : 2 : 1

b)

$\sqrt[]{2}:\ \sqrt[]{2}:\ 1$

c)

$2\ :\ \sqrt[]{2}\ :\ 1$

d)

None of these.

99.

The radius of a spherical balloon, of radii 30 cm, increases at the rate of 2 cm per second. Then its curved surface area increases by:

(a)

100.

The dimensions of a field are 20 m by 9 m. A pit 10 m long, 4.5 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation?

a)

1 m

b)

2 m

c)

3 m

d)

4 m

101.

A vessel is in the form of a hollow cylinder mounted on a hemispherical bowl. The diameter of the sphere is 14 cm and the total height of the vessel is 13 cm. Find the capacity of the vessel. (Take $\pi$ = 22/7).

a)

321.33 cm

b)

1642.67 cm³

c)

1232 cm³

d)

1632.33 cm³

102.

The sides of a triangle are 21, 20 and 13 cm. Find the area of the larger triangle into which the given triangle is divided by the perpendicular upon the longest side from the opposite vertex.

a)

72 cm²

b)

96 cm²

c)

168 cm²

d)

144 cm²

103.

The sides of a triangle are 21, 20 and 13 cm. Find the area of the larger triangle into which the given triangle is divided by the perpendicular upon the longest side from the opposite vertex.

a)

72 cm²

b)

96 cm²

c)

168 cm²

d)

144 cm²

104.

A circular tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.

a)

3894

b)

973.5

c)

1947 m

d)

1800 m

105.

A steel sphere of radius 4 cm is drawn into a wire of diameter 4 mm. Find the length of wire.

a)

10,665 mm

b)

42,660 mm

c)

21,333 mm

d)

14,220 mm

106.

A cylinder and a cone having equal diameter of their bases are placed in the Qutab Minar one on the other, with the cylinder placed in the bottom. If their curved surface area are in the ratio of 8 : 5, find the ratio of their heights. Assume the height of the cylinder to be equal to the radius of Qutab Minar. (Assume Qutab Minar to be having same radius throughout).

a)

1 : 4

b)

3 : 4

c)

4 : 3

d)

2 : 3

107.

A cylinder and a cone having equal diameter of their bases are placed in the Qutab Minar one on the other, with the cylinder placed in the bottom. If their curved surface area are in the ratio of 8 : 5, find the ratio of their heights. Assume the height of the cylinder to be equal to the radius of Qutab Minar. (Assume Qutab Minar to be having same radius throughout).

a)

1 : 4

b)

3 : 4

c)

4 : 3

d)

2 : 3

108.

If the curved surface area of a cone is thrice that of another cone and slant height of the second cone is thrice that of the first, find the ratio of the area of their base.

a)

81 : 1

b)

9 : 1

c)

3 : 1

d)

27 : 1

109.

A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder.

a)

2 cm

b)

3 cm

c)

1 cm

d)

3.5 cm

110.

A hollow sphere of external and internal diameters 6 cm and 4 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone

a)

4.75 cm

b)

9.5 cm

c)

19 cm

d)

38 cm

111.

Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.

a)

7 : 9

b)

49 : 81

c)

9 : 7

d)

27 : 23

112.

A hollow sphere of external and internal diameters 6 cm and 4 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone

a)

4.75 cm

b)

9.5 cm

c)

19 cm

d)

38 cm

113.

A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder.

a)

2 cm

b)

3 cm

c)

1 cm

d)

3.5 cm

114.

The internal and external diameters of a hollow hemispherical vessel are 24 cm and 25 cm respectively. The cost of painting 1 cm2 of the surface is Rs. 0.05. Find the total cost of painting the vessel all over.

a)

Rs.97.65

b)

Rs.86.4

c)

Rs.184

d)

Rs.96.28

115.

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes?

a)

2 : 1 : 3

b)

2.5 : 1 : 3

c)

1 : 2 : 3

d)

1.5 : 1 : 3

116.

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes?

a)

2 : 1 : 3

b)

2.5 : 1 : 3

c)

1 : 2 : 3

d)

1.5 : 1 : 3

117.

A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the total surface area of the solid.

a)

398.75 cm²

b)

418 cm²

c)

444 cm²

d)

412 cm²

118.

A cylindrical container whose diameter is 12 cm and height is 15 cm, is filled with ice cream. The whole ice-cream is distributed to 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, find the diameter of the ice-cream cone.

a)

6 cm

b)

12 cm

c)

3 cm

d)

18 cm

119.

A solid wooden toy is in the form of a cone mounted on a hemisphere. If the radii of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of wood used in the toy.

a)

343.72 cm³

b)

266.11 cm³

c)

532.22 cm³

d)

133.55 cm³

120.

A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.

a)

1440 cm²

b)

385 cm²

c)

1580 cm²

d)

770 cm²

121.

A cylindrical container whose diameter is 12 cm and height is 15 cm, is filled with ice cream. The whole ice-cream is distributed to 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, find the diameter of the ice-cream cone.

a)

6 cm

b)

12 cm

c)

3 cm

d)

18 cm

122.

A solid wooden toy is in the form of a cone mounted on a hemisphere. If the radii of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of wood used in the toy.

a)

343.72 cm³

b)

266.11 cm³

c)

532.22 cm³

d)

133.55 cm³

123.

A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.

a)

1440 cm²

b)

385 cm²

c)

1580 cm²

d)

770 cm²

Mensuration

Total questions: 123

Worksheet time: 1hrs 22mins

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