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Real-World Cylinder Challenges: Volume & Surface Area

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A cylindrical water tank has a radius of 3 feet and a height of 5 feet. What is the volume of the tank? (Use the formula V = πr²h)

a)

45π cubic feet

b)

15π cubic feet

c)

30π cubic feet

d)

60π cubic feet

2.

A can of soda is in the shape of a cylinder with a height of 6 inches and a diameter of 3 inches. How much soda can the can hold? (Use the formula V = πr²h)

a)

36.87 cubic inches

b)

Approximately 42.39 cubic inches

c)

50.27 cubic inches

d)

30.14 cubic inches

3.

A cylindrical candle has a radius of 2 inches and a height of 10 inches. If the candle burns down 1 inch, what is the new volume of the candle?

a)

40π cubic inches

b)

28π cubic inches

c)

32π cubic inches

d)

36π cubic inches

4.

A soup can is a cylinder with a height of 4 inches and a radius of 2 inches. If you want to cover the can with a label, what is the surface area of the can? (Use the formula SA = 2πrh + 2πr²)

a)

75.36 square inches

b)

90.24 square inches

c)

60.48 square inches

d)

50.12 square inches

5.

A cylindrical tube has a diameter of 8 cm and a height of 12 cm. What is the total surface area of the tube? (Use the formula SA = 2πrh + 2πr²)

a)

128π cm²

b)

64π cm²

c)

96π cm²

d)

144π cm²

6.

A water bottle is shaped like a cylinder with a height of 10 inches and a radius of 3 inches. How much water can it hold? (Use the formula V = πr²h)

a)

Approximately 250 cubic inches

b)

Approximately 282.6 cubic inches

c)

Approximately 150 cubic inches

d)

Approximately 400 cubic inches

7.

A cylindrical vase has a radius of 4 inches and a height of 10 inches. If you fill it with water to a height of 5 inches, what is the volume of water in the vase?

a)

80π cubic inches

b)

100π cubic inches

c)

40π cubic inches

d)

20π cubic inches

8.

A cylindrical pipe has a radius of 1 inch and a length of 20 inches. What is the volume of the pipe? (Use the formula V = πr²h)

a)

10π cubic inches

b)

15π cubic inches

c)

20π cubic inches

d)

30π cubic inches

9.

A cylindrical jar has a height of 15 cm and a radius of 5 cm. If you want to paint the outside of the jar, what is the surface area you need to paint? (Use the formula SA = 2πrh + 2πr²)

a)

314 cm²

b)

785 cm²

c)

500 cm²

d)

628 cm²

10.

A cylindrical tank has a radius of 7 meters and a height of 10 meters. If the tank is filled with water, what is the volume of water it can hold? (Use the formula V = πr²h)

a)

5000 cubic meters

b)

1000 cubic meters

c)

1500 cubic meters

d)

2403.6 cubic meters