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Worksheets

Cylinder, Sphere and Hemisphere

Total questions: 25

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

The capacity of a cylindrical water tank is 539 litres .If its height is 1.4 m, find the radius of the base.

a)

35cm

b)

14cm

c)

28cm

d)

70cm

2.

If the surface area of a sphere is 22176 sq. cm, find its radius.

a)

42cm

b)

24cm

c)

35cm

d)

28cm

3.

 If the height of a cone is three times the radius of the base and its volume is  512  π\pi  cm3cm^3   ,find the radius of its base.

a)

6cm

b)

8cm

c)

12cm

d)

14cm

4.

If the volume of a hemisphere is 486 π\pi cm3,  its radius is.

a)

9cm

b)

7cm

c)

3.5cm

d)

10.5cm

5.

A cylindrical water tank contains, 3,85,000 litres of water .If its height is 10 m, find its diameter.

a)

70 cm

b)

3.5m

c)

7m

d)

70m

6.

 A 60 cm high cylinder with 14 cm its diameter is cut vertically into two equal halves. What is the volume of a half part?

a)

4620 cm3cm^3

b)

4640 cm^3

c)

4560 cm^3

d)

4420 cm^3

7.

If the sum of the radius and the height of a right cylinder is 50 cm and the circumference of its base is 220 cm, find its total surface area .

a)

11000 sq.cm

b)

10000 sq.cm

c)

55000 sq.cm

d)

11 sq.m

8.

If the radius of base and height of the cylinder are in the ratio of 5:7 and the volume is 550 cubic cm, find the radius of the base of the cylinder.

a)

5cm

b)

7cm

c)

10cm

d)

3.5cm

9.

The ratio of the radius of base and the height of a cylinder is 7:8 .If the volume of the cylinder is 9,856 cm3 ,find the total surface area of the cylinder.

a)

2640 cm2

b)

2440 cm2

c)

2460 cm2

d)

2442cm2

10.

 The sum of the height and radius of the base of the cylinder is 34 cm .If the total surface area of the cylinder is 2,992 cm^2, find its volume.

a)

 12320cm312320cm^3  

b)

 12230cm312230cm^3  

c)

 13220cm313220cm^3  

d)

 13240cm313240cm^3  

11.

50 circular plates, each of radius 7 cm and thickness 5 mm are placed one above the other to form a cylindrical shape. Find the volume of cylinder so formed.

a)

3850 cm3cm^3

b)

3460 cm^3

c)

3450 cm^3

d)

3650 cm^3

12.

How many cubic meters of earth must be dug out to construct a cylindrical well which is 25 m deep and the radius of the base is 3.5 m.

a)

962.5m3962.5m^3

b)

966.5cm3966.5cm^3

c)

465.40cm3465.40cm^3

d)

866.5cm3866.5cm^3

13.

If the perimeter of plain circular surface of a hemisphere is 176 cm, calculate TSA of hemisphere.

a)

7392cm2

b)

6362cm2

c)

9234cm2

d)

8424cm2

14.

The external and internal radii of a hollow spherical metallic shell are 35 cm and 14 cm respectively. Calculate the volume of the metal contained by the shell.

a)

168168 cubic cm

b)

168268 cubic cm

c)

166168 cubic cm

d)

186186 cubic cm

15.

 A solid metallic sphere of radius is cut into two halves. Find the total surface area of the two hemispheres so formed.

a)

6 π\pi r2r^2

b)

4 \pi r^2

c)

3 \pi r^2

d)

2 \pi r^2

16.

How many lead balls each of radius 1 cm can be made from a solid sphere of diameter 12 cm ?

a)

216

b)

36

c)

144

d)

288

17.

A spherical ball of radius 3 cm is melted and recast into three spherical balls .The radii of two of them are 1.5 cm and 2cm. Find the diameter of the third ball.

a)

5 cm

b)

1.75cm

c)

3.5cm

d)

2.5cm

18.

A cylindrical tub of radius 16 cm contains water to a certain depth. When a spherical ball is dropped into the tube, the level of the water is raised by 9 cm. Find the radius of the ball.

a)

12cm

b)

10cm

c)

8cm

d)

6cm

19.

A cylinder whose height is two third of its diameter, has the same volume as the sphere of radius 21 cm. Calculate the curved surface area of the cylinder.

a)

3696 sq cm

b)

3496 sq cm

c)

3296 sq cm

d)

3796 sq cm

20.

The surface area of a ball is twice the area of curved surface of a cylinder. If the height and radius of the cylinder be 10.5 cm each, find the volume of the sphere .

a)

4851cm3

b)

4651cm3

c)

4751cm3

d)

4451cm3

21.
What is the volume of a cylinder?
a)
V=4/3 πr³
b)
V= 2πr
c)
V=πr²h
d)
V=2πr²h
22.
a three dimensional figure with two parallel congruent circular bases connected by a curved surface
a)
cone
b)
cylinder
c)
sphere
d)
hemisphere
23.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone. 
b)
The cone is 1/3 the volume of the cylinder. 
c)
They have the same volume. 
d)
Their volumes are not related at all. 
24.
What is this formula?
a)
suface area of a cone
b)
surface area of a sphere
c)
volume of a cone
d)
volume of a sphere
25.

Which is the surface area of a cylender

a)

 2\pi rh 

b)

 πr(r+l)\pi r\left(r+l\right)   

c)

 2πrh+2πr22\pi rh+2\pi r^2  

d)

 πr(r+h)\pi r\left(r+h\right)