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Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — 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 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 7 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 1539.4 cm3

  1. V = π × r2 × h = π × 72 × 10
  2. = π × 490
  3. ≈ 1539.4 cm3
2.A cylinder has a radius of 4 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 804.2 cm3

  1. V = π × r2 × h = π × 42 × 16
  2. = π × 256
  3. ≈ 804.2 cm3
3.A rectangular prism has a volume of 320 cm3. Its base is 5 cm by 8 cm. Find its height.

Answer: 8 cm

  1. Base area = 5 × 8 = 40 cm2
  2. Height = 320 ÷ 40 = 8 cm
4.A rectangular prism has a volume of 288 cm3. Its base is 9 cm by 4 cm. Find its height.

Answer: 8 cm

  1. Base area = 9 × 4 = 36 cm2
  2. Height = 288 ÷ 36 = 8 cm
5.A cylinder has a radius of 6 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 1809.6 cm3

  1. V = π × r2 × h = π × 62 × 16
  2. = π × 576
  3. ≈ 1809.6 cm3
6.A cylinder has a radius of 9 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 3308.1 cm3

  1. V = π × r2 × h = π × 92 × 13
  2. = π × 1053
  3. ≈ 3308.1 cm3
7.A cylinder has a radius of 8 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 2613.8 cm3

  1. V = π × r2 × h = π × 82 × 13
  2. = π × 832
  3. ≈ 2613.8 cm3
8.A rectangular prism has a volume of 270 cm3. Its base is 6 cm by 5 cm. Find its height.

Answer: 9 cm

  1. Base area = 6 × 5 = 30 cm2
  2. Height = 270 ÷ 30 = 9 cm
9.A triangular prism has a triangular end with base 14 cm and height 6 cm. The prism is 5 cm long. Find its volume.

Answer: 210 cm3

  1. Area of the triangle = ½ × 14 × 6 = 42 cm2
  2. V = area of end × length = 42 × 5
  3. = 210 cm3
10.A cylinder has a radius of 8 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 3418.1 cm3

  1. V = π × r2 × h = π × 82 × 17
  2. = π × 1088
  3. ≈ 3418.1 cm3
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