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Year 6 Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 6 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Volume & Capacity

Year 6 Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

Show your working. Use the π button on your calculator and round to 1 decimal place.

1.A cylinder has a radius of 2 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 100.5 cm3

  1. V = π × r2 × h = π × 22 × 8
  2. = π × 32
  3. ≈ 100.5 cm3
2.A cylinder has a radius of 7 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 1231.5 cm3

  1. V = π × r2 × h = π × 72 × 8
  2. = π × 392
  3. ≈ 1231.5 cm3
3.A rectangular prism has a volume of 40 cm3. Its base is 5 cm by 4 cm. Find its height.

Answer: 2 cm

  1. Base area = 5 × 4 = 20 cm2
  2. Height = 40 ÷ 20 = 2 cm
4.A cylinder has a radius of 8 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 1206.4 cm3

  1. V = π × r2 × h = π × 82 × 6
  2. = π × 384
  3. ≈ 1206.4 cm3
5.A cylinder has a radius of 9 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 5089.4 cm3

  1. V = π × r2 × h = π × 92 × 20
  2. = π × 1620
  3. ≈ 5089.4 cm3
6.A cylinder has a radius of 6 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 904.8 cm3

  1. V = π × r2 × h = π × 62 × 8
  2. = π × 288
  3. ≈ 904.8 cm3
7.A cylinder has a radius of 4 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 251.3 cm3

  1. V = π × r2 × h = π × 42 × 5
  2. = π × 80
  3. ≈ 251.3 cm3
8.A cylinder has a radius of 5 cm and a height of 11 cm. Find its volume, correct to 1 decimal place.

Answer: 863.9 cm3

  1. V = π × r2 × h = π × 52 × 11
  2. = π × 275
  3. ≈ 863.9 cm3
9.A rectangular prism has a volume of 160 cm3. Its base is 10 cm by 8 cm. Find its height.

Answer: 2 cm

  1. Base area = 10 × 8 = 80 cm2
  2. Height = 160 ÷ 80 = 2 cm
10.A rectangular prism has a volume of 64 cm3. Its base is 4 cm by 4 cm. Find its height.

Answer: 4 cm

  1. Base area = 4 × 4 = 16 cm2
  2. Height = 64 ÷ 16 = 4 cm
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