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Surface Area of Cylinders, Cones and Spheres

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Find the surface area of the cone. Round to the nearest tenth.

a)

37.7 m²

b)

50.3 m²

c)

75.4 m²

d)

25.1 m²

2.

Find the surface area of a cone with a radius of 7 inches and a slanted height of 11 inches. Round to the nearest tenth.

a)

259.7 in2

b)

241.9 in2

c)

153.9 in2

d)

395.8 in2

3.

What is the total surface area of the cylinder to the nearest square inch? 

a)

625 in2

b)

1300 in2

c)

1046 in2

d)

414 in2

4.

Find the lateral surface area of the figure.

a)

456 m2

b)

1444 m2

c)

1245 m2

d)

816 m2

5.

Find the surface area of this cone.

a)

65π ft.2

b)

60π ft.2

c)

90π ft.2

d)

130π ft.2

6.

Find the surface area of the cone. Leave your answer in terms of pi.

a)

12π m²

b)

16π m²

c)

24π m²

d)

8π m²

7.

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Use 3.14 for π.

What is the surface area of the label?

a)

150.72 in2

b)

100.48 in2

c)

24 in2

d)

75.36 in2

8.

A paper party hat, like the one shown, has a slant height of 6 inches and a height of 5 inches. How many square feet of cardboard would be needed to create this hat?

a)

62.5 in.2

b)

10 in.2

c)

50 in.2

d)

22.5 in.2

9.

Find the lateral surface area of the prism.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

10.

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

11.

Find the surface area of this figure.

Round to the nearest hundredth.

a)

1981.9 sq m

b)

1525.9 sq m

c)

1468.8 sq m

d)

1350.2 sq m

12.

Which example requires you to find the surface area?

a)

Finding out how much water will fill a cylinder

b)

Finding out how much wrapping paper is needed to cover a present

c)

Finding the amount a container can hold

d)

Finding out how much wood is needed to build a fence in your back yard.

13.

What is the Lateral Area of the Figure

a)

163in3

b)

188.4in2

c)

283in2

d)

324in3

14.

Find the surface area of this figure.

Round to the nearest hundredth.

a)

84.44 sq in

b)

25.25 sq in

c)

104.62 sq in

d)

56.52 sq in

15.

Find the total surface area of the cylinder. Don't forget to divide the diameter by 2 to get the radius.

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm