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Cylinders practice questions with answers

Foundation and Higher · Grade 4 · Calculator

A second set of cylinders questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

A cylinder has diameter 14 cm and height 6 cm. Work out its volume. Give your answer in terms of π.

Show answer

Answer: 294π

  1. The radius is half the diameter: 14 ÷ 2 = 7 cm.
  2. Area of the circular end = π × 7² = 49π.
  • Method (1): The radius is half the diameter: 14 ÷ 2 = 7 cm.
  • Accuracy (1): Answer 294π

Question 2 Easy

A cylinder has radius 8 cm and height 6 cm. Work out its curved surface area. Give your answer in terms of π.

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Answer: 96π

  1. Curved surface area = 2 × π × 8 × 6.
  2. 2 × 8 × 6 = 96.
  • Method (1): Curved surface area = 2 × π × 8 × 6.
  • Accuracy (1): Answer 96π

Question 3 Medium

A cylinder has diameter 4 cm and height 6 cm. Work out its volume. Give your answer in terms of π.

Show answer

Answer: 24π

  1. The radius is half the diameter: 4 ÷ 2 = 2 cm.
  2. Area of the circular end = π × 2² = 4π.
  • Method (1): The radius is half the diameter: 4 ÷ 2 = 2 cm.
  • Accuracy (1): Answer 24π

Question 4 Medium

A cylinder has radius 2 cm and height 5 cm. Work out its curved surface area. Give your answer in terms of π.

Show answer

Answer: 20π

  1. Curved surface area = 2 × π × 2 × 5.
  2. 2 × 2 × 5 = 20.
  • Method (1): Curved surface area = 2 × π × 2 × 5.
  • Accuracy (1): Answer 20π

Question 5 Hard

A cylinder has diameter 4 cm and height 3 cm. Work out its volume. Give your answer in terms of π.

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Answer: 12π

  1. The radius is half the diameter: 4 ÷ 2 = 2 cm.
  2. Area of the circular end = π × 2² = 4π.
  • Method (1): The radius is half the diameter: 4 ÷ 2 = 2 cm.
  • Accuracy (1): Answer 12π

Question 6 Hard

A cylinder has radius 9 cm and height 7 cm. Work out its curved surface area. Give your answer in terms of π.

Show answer

Answer: 126π

  1. Curved surface area = 2 × π × 9 × 7.
  2. 2 × 9 × 7 = 126.
  • Method (1): Curved surface area = 2 × π × 9 × 7.
  • Accuracy (1): Answer 126π

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 13 marks

A cylinder has radius 5 cm and height 9 cm. Work out its volume. Give your answer in terms of π.

Show answer

Answer: 225π

  1. Area of the circular end = π × 5² = 25π.
  2. Volume = 25π × 9.
  3. 25 × 9 = 225, so the volume is 225π cm³.
  • Method (1): Area of the circular end = π × 5² = 25π.
  • Method (1): Volume = 25π × 9.
  • Accuracy (1): Answer 225π

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

A cylinder has radius 9 cm and height 6 cm. Work out its volume. Give your answer in terms of π.

  1. 486π
  2. 54π
  3. 1944π
Show answer

486π The result is 486π.

Check 2

A cylinder has diameter 10 cm and height 5 cm. Work out its volume. Give your answer in terms of π.

  1. 125π
  2. 500π
  3. 25π
Show answer

125π The result is 125π.

Check 3

A cylinder has radius 2 cm and height 2 cm. Work out its curved surface area. Give your answer in terms of π.

  1. 8π
  2. 10π
  3. 18π
Show answer

8π The result is 8π.

Check 4

A cylinder has radius 7 cm and height 2 cm. Work out its total surface area. Give your answer in terms of π.

  1. 126π
  2. 28π
  3. 77π
Show answer

126π The result is 126π.

Check 5

A cylinder has radius 10 cm and height 5 cm. Work out its volume. Give your answer in terms of π.

  1. 500π
  2. 50π
  3. 2000π
Show answer

500π The result is 500π.

Check 6

A cylinder has diameter 4 cm and height 9 cm. Work out its volume. Give your answer in terms of π.

  1. 36π
  2. 144π
  3. 18π
Show answer

36π The result is 36π.

Check 7

A cylinder has radius 8 cm and height 6 cm. Work out its curved surface area. Give your answer in terms of π.

  1. 96π
  2. 48π
  3. 384π
Show answer

96π The result is 96π.

Check 8

A cylinder has radius 3 cm and height 3 cm. Work out its total surface area. Give your answer in terms of π.

  1. 36π
  2. 18π
  3. 27π
Show answer

36π The result is 36π.

Check 9

A cylinder has radius 10 cm and height 6 cm. Work out its volume. Give your answer in terms of π.

  1. 600π
  2. 60π
  3. 2400π
Show answer

600π The result is 600π.

Check 10

A cylinder has diameter 8 cm and height 8 cm. Work out its volume. Give your answer in terms of π.

  1. 128π
  2. 512π
  3. 32π
Show answer

128π The result is 128π.

Check 11

A cylinder has radius 5 cm and height 2 cm. Work out its curved surface area. Give your answer in terms of π.

  1. 20π
  2. 10π
  3. 50π
Show answer

20π The result is 20π.

Check 12

A cylinder has radius 7 cm and height 7 cm. Work out its total surface area. Give your answer in terms of π.

  1. 196π
  2. 98π
  3. 147π
Show answer

196π The result is 196π.

Check 13

A cylinder has radius 5 cm and height 2 cm. Work out its volume. Give your answer in terms of π.

  1. 50π
  2. 10π
  3. 200π
Show answer

50π The result is 50π.

Check 14

A cylinder has diameter 4 cm and height 5 cm. Work out its volume. Give your answer in terms of π.

  1. 20π
  2. 80π
  3. 10π
Show answer

20π The result is 20π.

Check 15

A cylinder has radius 7 cm and height 3 cm. Work out its curved surface area. Give your answer in terms of π.

  1. 42π
  2. 21π
  3. 147π
Show answer

42π The result is 42π.

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