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Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 4 — 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 11 cm. Find its volume, correct to 1 decimal place.

Answer: 1693.3 cm3

  1. V = π × r2 × h = π × 72 × 11
  2. = π × 539
  3. ≈ 1693.3 cm3
2.A triangular prism has a triangular end with base 24 cm and height 6 cm. The prism is 14 cm long. Find its volume.

Answer: 1,008 cm3

  1. Area of the triangle = ½ × 24 × 6 = 72 cm2
  2. V = area of end × length = 72 × 14
  3. = 1,008 cm3
3.A cylinder has a radius of 7 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 1847.3 cm3

  1. V = π × r2 × h = π × 72 × 12
  2. = π × 588
  3. ≈ 1847.3 cm3
4.A cylinder has a radius of 9 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 4326.0 cm3

  1. V = π × r2 × h = π × 92 × 17
  2. = π × 1377
  3. ≈ 4326.0 cm3
5.A rectangular prism has a volume of 280 cm3. Its base is 8 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 8 × 5 = 40 cm2
  2. Height = 280 ÷ 40 = 7 cm
6.A cylinder has a radius of 10 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 5654.9 cm3

  1. V = π × r2 × h = π × 102 × 18
  2. = π × 1800
  3. ≈ 5654.9 cm3
7.A rectangular prism has a volume of 240 cm3. Its base is 8 cm by 10 cm. Find its height.

Answer: 3 cm

  1. Base area = 8 × 10 = 80 cm2
  2. Height = 240 ÷ 80 = 3 cm
8.A cylinder has a radius of 6 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 565.5 cm3

  1. V = π × r2 × h = π × 62 × 5
  2. = π × 180
  3. ≈ 565.5 cm3
9.A triangular prism has a triangular end with base 10 cm and height 8 cm. The prism is 13 cm long. Find its volume.

Answer: 520 cm3

  1. Area of the triangle = ½ × 10 × 8 = 40 cm2
  2. V = area of end × length = 40 × 13
  3. = 520 cm3
10.A cylinder has a radius of 10 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 2513.3 cm3

  1. V = π × r2 × h = π × 102 × 8
  2. = π × 800
  3. ≈ 2513.3 cm3
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