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Grade 8 · Math

Find a cylinder’s exact volume

Relate the volume of a right circular cylinder to its circular base area and height.

6 authored questions + worked example

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Worked example

A cylinder has radius 2 cm and height 3 cm. What is its exact volume?

Answer & why

Answer: 12π cm3

The circular base has area πr2 = 4π cm2. Multiply by height: 4π × 3 = 12π cm3.

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All questions

All 6 authored questions for this skill.

Question 1

A cylinder has radius 1 cm and height 5 cm. What is its exact volume?

  1. 10π cm3
  2. 6π cm3
  3. 5π cm3
  4. 4π cm3
A hint

Use V = πr2h. Square the radius, then multiply by the height.

Answer & why

Answer: 5π cm3

The circular base has area πr2 = 1π cm2. Multiply by height: 1π × 5 = 5π cm3.

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Question 2

A cylinder has radius 4 cm and height 2 cm. What is its exact volume?

  1. 32π cm3
  2. 31π cm3
  3. 64π cm3
  4. 33π cm3
A hint

Use V = πr2h. Square the radius, then multiply by the height.

Answer & why

Answer: 32π cm3

The circular base has area πr2 = 16π cm2. Multiply by height: 16π × 2 = 32π cm3.

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Question 3

A cylinder has radius 2 cm and height 7 cm. What is its exact volume?

  1. 28π cm3
  2. 29π cm3
  3. 27π cm3
  4. 56π cm3
A hint

Use V = πr2h. Square the radius, then multiply by the height.

Answer & why

Answer: 28π cm3

The circular base has area πr2 = 4π cm2. Multiply by height: 4π × 7 = 28π cm3.

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Question 4

A cylinder has radius 5 cm and height 3 cm. What is its exact volume?

  1. 75π cm3
  2. 150π cm3
  3. 74π cm3
  4. 76π cm3
A hint

Use V = πr2h. Square the radius, then multiply by the height.

Answer & why

Answer: 75π cm3

The circular base has area πr2 = 25π cm2. Multiply by height: 25π × 3 = 75π cm3.

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Question 5

A cylinder has radius 2 cm and height 3 cm. What is its exact volume?

  1. 11π cm3
  2. 12π cm3
  3. 13π cm3
  4. 24π cm3
A hint

Use V = πr2h. Square the radius, then multiply by the height.

Answer & why

Answer: 12π cm3

The circular base has area πr2 = 4π cm2. Multiply by height: 4π × 3 = 12π cm3.

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Question 6

A cylinder has radius 3 cm and height 4 cm. What is its exact volume?

  1. 36π cm3
  2. 72π cm3
  3. 37π cm3
  4. 35π cm3
A hint

Use V = πr2h. Square the radius, then multiply by the height.

Answer & why

Answer: 36π cm3

The circular base has area πr2 = 9π cm2. Multiply by height: 9π × 4 = 36π cm3.

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