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Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Volume & Capacity

Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

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

1.A cylinder has a radius of 7 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 2155.1 cm3

  1. V = π × r2 × h = π × 72 × 14
  2. = π × 686
  3. ≈ 2155.1 cm3
2.A cylinder has a radius of 8 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 1608.5 cm3

  1. V = π × r2 × h = π × 82 × 8
  2. = π × 512
  3. ≈ 1608.5 cm3
3.A triangular prism has a triangular end with base 22 cm and height 8 cm. The prism is 6 cm long. Find its volume.

Answer: 528 cm3

  1. Area of the triangle = ½ × 22 × 8 = 88 cm2
  2. V = area of end × length = 88 × 6
  3. = 528 cm3
4.A triangular prism has a triangular end with base 24 cm and height 9 cm. The prism is 5 cm long. Find its volume.

Answer: 540 cm3

  1. Area of the triangle = ½ × 24 × 9 = 108 cm2
  2. V = area of end × length = 108 × 5
  3. = 540 cm3
5.A cylinder has a radius of 4 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 452.4 cm3

  1. V = π × r2 × h = π × 42 × 9
  2. = π × 144
  3. ≈ 452.4 cm3
6.A cylinder has a radius of 2 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 251.3 cm3

  1. V = π × r2 × h = π × 22 × 20
  2. = π × 80
  3. ≈ 251.3 cm3
7.A cylinder has a radius of 10 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 1885.0 cm3

  1. V = π × r2 × h = π × 102 × 6
  2. = π × 600
  3. ≈ 1885.0 cm3
8.A rectangular prism has a volume of 80 cm3. Its base is 5 cm by 4 cm. Find its height.

Answer: 4 cm

  1. Base area = 5 × 4 = 20 cm2
  2. Height = 80 ÷ 20 = 4 cm
9.A rectangular prism has a volume of 162 cm3. Its base is 9 cm by 9 cm. Find its height.

Answer: 2 cm

  1. Base area = 9 × 9 = 81 cm2
  2. Height = 162 ÷ 81 = 2 cm
10.A cylinder has a radius of 5 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 471.2 cm3

  1. V = π × r2 × h = π × 52 × 6
  2. = π × 150
  3. ≈ 471.2 cm3
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