wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Surface Area and Volume Challenge

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Calculate the surface area of a cone with a radius of 5 cm and a height of 12 cm.

a)

150 cm²

b)

282.6 cm²

c)

350 cm²

d)

200 cm²

2.

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

a)

Approximately 400 cm³

b)

Approximately 150 cm³

c)

Approximately 250 cm³

d)

Approximately 282.6 cm³

3.

Find the surface area of a sphere with a radius of 7 cm.

a)

500.00 cm²

b)

314.16 cm²

c)

615.44 cm²

d)

150.80 cm²

4.

Calculate the volume of a hemisphere with a radius of 4 cm.

a)

approximately 134.04 cm³

b)

approximately 167.55 cm³

c)

approximately 100.48 cm³

d)

approximately 50.27 cm³

5.

Determine the surface area of a frustum of a right circular cone with a radius of 3 cm (top), 5 cm (bottom), and a height of 10 cm.

a)

363.9 cm²

b)

250.5 cm²

c)

400.2 cm²

d)

300.0 cm²

6.

What is the volume of a cone with a base radius of 6 cm and a height of 9 cm?

a)

90π cm³

b)

72π cm³

c)

108π cm³

d)

54π cm³

7.

Calculate the surface area of a cylinder with a diameter of 8 cm and a height of 15 cm.

a)

450 cm²

b)

477.52 cm²

c)

300 cm²

d)

520 cm²

8.

Find the volume of a sphere with a diameter of 10 cm.

a)

785.4 cm³

b)

523.6 cm³

c)

418.9 cm³

d)

314.2 cm³

9.

Determine the surface area of a hemisphere with a radius of 6 cm.

a)

339.12 cm²

b)

300.00 cm²

c)

150.80 cm²

d)

226.08 cm²

10.

What is the volume of a frustum of a right circular cone with a top radius of 2 cm, bottom radius of 4 cm, and height of 5 cm?

a)

50 cm³

b)

146.61 cm³

c)

200 cm³

d)

100 cm³

11.

Calculate the surface area of a cone with a slant height of 13 cm and a base radius of 5 cm.

a)

282.6 cm²

b)

350 cm²

c)

150 cm²

d)

200 cm²

12.

What is the volume of a cylinder with a radius of 2.5 cm and a height of 20 cm?

a)

100 cm³

b)

250 cm³

c)

392.5 cm³

d)

500 cm³

13.

Find the surface area of a sphere with a radius of 10 cm.

a)

1256 cm²

b)

314 cm²

c)

800 cm²

d)

500 cm²

14.

Calculate the volume of a hemisphere with a radius of 3 cm.

a)

56.52 cm³

b)

37.68 cm³

c)

113.10 cm³

d)

28.26 cm³

15.

Determine the surface area of a frustum of a right circular cone with a height of 8 cm, top radius of 3 cm, and bottom radius of 6 cm.

a)

8π√65 + 40π cm²

b)

15π√20 + 25π cm²

c)

12π√50 + 30π cm²

d)

9π√73 + 45π cm²