Free Printable 6.3D Cylinders, Cones and Spheres + Mixed Practice

1.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

2.

The formula for the Volume of ...

a)

Cylinders

b)

Spheres

c)

Cones

3.

What shape is this?

a)

Pyramid

b)

Cylinder

c)

Circle

d)

Cube

4.

What shape is this?

a)

Cylinder

b)

Cone

c)

Sphere

5.

What shape is this?

a)

Cone

b)

Sphere

c)

Cube

d)

Pyramid

6.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

7.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

8.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

9.

What is the volume?

a)

1178 ft³

b)

4712 ft³

c)

7069 ft³

d)

3534 ft³

10.

Find the lateral surface area of the figure.

a)

456 m²

b)

1444.4 m²

c)

1245.1 m²

d)

816.8 m²

11.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

12.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a height of 20 centimeters. What is the surface area of the brick?

a)

650 cm²

b)

600 cm²

c)

525 cm²

d)

450 cm²

13.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

14.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

15.

Find the Surface Area

a)

196 ft²

b)

96 ft²

c)

98 ft²

d)

108 ft²

16.

Shelby wants to wrap a present in a box for Sarah. The top and bottom of the box is 8 in. by 3 in., the sides are both 3 in. by 2 in. and the front and back are 8 in. by 2 in. How much wrapping paper will Chloe need to wrap the present?

Is this problem asking about Lateral or Total surface area?

a)

Lateral

b)

Total

17.

Hannah wants to cover a cardboard box with glitter. The box is a rectangular prism measuring 4 inches tall, 6 inches wide, and 8 inches long. Each tube of glitter covers 25 square inches. How many tubes of glitter will Hannah need?

a)

6 Tubes

b)

7 Tubes

c)

8 Tubes

d)

9 Tubes

18.

The formula for the area of which shape is a part of the formulas for volume of cylinders, cones, and spheres?

a)

pyramid

b)

cube

c)

triangle

d)

circle

19.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

5572.45 cm³

b)

506.59 cm³

c)

126.65 cm³

d)

1393.11 cm³

20.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

12.56 ft³

b)

37.68 ft³

c)

18.84 ft³

d)

6.28 ft³

21.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

418.00 cm³

b)

139.33 cm³

c)

130.62 cm³

d)

1671.98 cm³

22.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

179.50 cm³

b)

205.15 cm³

c)

51.29 cm³

d)

1436.03 cm³

23.

Find the volume to the nearest whole number using 3.14 instead of Pi.

a)

151 ft³

b)

152 ft³

c)

150 ft³

d)

150.72 ft³

24.

What is another word to describe volume?

a)

Area

b)

surface area

c)

capacity

d)

4th dimension

25.

Which label would NOT be appropriate for volume.

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

26.

You have a globe that has a radius of 11 inches. Find the volume of your globe.

a)

523 in³

b)

16,717 in³

c)

5,575 in³

d)

7,235 in³

27.

V = ?

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

28.

Mrs. Scanlon, Ms. Egan, Mrs. Biavati, and Mrs. Flores go out for ice cream cones. Assuming the entire cone is filled and there is a sphere of ice cream above the cone that reaches the edge of the cone, what size cone would provide the most amount of ice cream?

a)

Cone with a h= 3.5 and r = 3.5

b)

cone with a h= 4 and r = 3

c)

cone with a h = 4.2 and r = 2.5

d)

cone with a h = 5 and r = 2

29.

Mrs. Scanlon, Ms. Egan, Mrs. Biavati, and Mrs. Flores go out for ice cream cones. Assuming the entire cone is filled and there is a sphere of ice cream above the cone that reaches the edge of the cone, what size cone would provide the least amount of ice cream?

a)

cone with h= 3.5 and r = 3.5

b)

cone with h = 4 and r = 3

c)

cone with h= 4.2 and r = 2.5

d)

cone with h = 5 and r = 2

30.

Find the volume of a HEMIsphere with a radius of 4.

a)

85.3π

b)

62.67π

c)

42.67π

d)

8π

31.

What is another word to describe volume?

a)

Area

b)

surface area

c)

capacity

d)

4th dimension

32.

Which label would NOT be appropriate for volume.

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

33.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

179.50 cm³

b)

205.15 cm³

c)

51.29 cm³

d)

1436.03 cm³

34.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

5572.45 cm³

b)

506.59 cm³

c)

126.65 cm³

d)

1393.11 cm³

35.

Find the volume to the nearest tenth using 3.14 instead of Pi.

a)

282.6 in³

b)

94.2 in³

c)

235.5 in³

d)

78.5 in³

36.

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.

37.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

38.

Find the total surface area of the cylinder using the formula SA = 2πrh + 2πr²

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm

39.

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

a)

176.6 ft³

b)

141.3 ft³

c)

88.3 ft³

d)

70.7 ft³

40.

Find the surface area

a)

60.4 m²

b)

188.4 m²

c)

94.2 m²

d)

881.9 m²

41.

Find the surface area of this cone.

a)

65π ft.²

b)

60π ft.²

c)

90π ft.²

d)

130π ft.²

42.

Find the surface area.

a)

6658.56 mm²

b)

452.16 mm²

c)

904.32 mm²

d)

108.8 mm²

43.

Find the surface area of the Cylinder.

a)

$603.2\ m^2$

b)

$1,205.7\ m^2$

c)

$1,004.8\ m^2$

d)

$904.3\ m^2$

44.

If a has cylinder a radius of 4 yd and a volume of 80 $yd^3$ , solve for the height to the nearest tenth. Use $\pi\approx3.14.$

a)

4,019.2 yds.

b)

6.4 yds.

c)

1.65yds.

d)

1.6 yds.

45.

Select all that apply.

In order to solve for the radius in the sphere formula with $r^3$ , use the ____________ button on the calculator.

a)

cubic root

b)

square root

c)

d)

46.

The volume of a cylinder is $226.08\ ft^3$ and the radius is $6\ ft.$ What is the height? Use

a)

$h\ =9\ ft$

b)

$h=36\ ft$

c)

$h=2\ ft$

d)

$h\ =\ 12\ ft$

47.

The volume of a cone is $1,436.03\ ft^3.\ \$ It's radius is $7\ ft.$ Solve for the height. Use $196\pi\ ft^{3\ }.$

a)

$h=12\ ft$

b)

$h=28\ ft$

c)

$h\approx3.5\ ft$

d)

$h\ =\ 14\ ft$

48.

Find the radius of a sphere with a volume of $3,053.63\ in^3.$ Use

a)

$9\ in.$

b)

$6.2\ in.$

c)

$31.2\ in.$

d)

$18\ in.$

49.

The volume of a cylinder is $15,919.8\ cm^3.$ If the height is $30\ cm$ , what is the radius? Use

a)

$r=15.6\ cm$

b)

$r=84.5\ cm$

c)

$r=169\ cm^2$

d)

$r=13\ cm$

50.

The volume of a cone is $2,307.9\ mm^3$ and the height is $5\ mm$ . What is the radius? Use

a)

$r=147\ mm$

b)

$r=47\ mm$

c)

$r=\ 441\ mm$

d)

$r=21\ mm$

51.

I was think Missing Dimensions was ______________to learn on my own.

a)

Easy

b)

OK

c)

Pretty tough

d)

Super difficult

6.3D Cylinders, Cones and Spheres + Mixed Practice

Total questions: 51

Worksheet time: 4hrs 49mins

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