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

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

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Volume & Capacity

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

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

1.A cylinder has a radius of 4 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 754.0 cm3

  1. V = π × r2 × h = π × 42 × 15
  2. = π × 240
  3. ≈ 754.0 cm3
2.A cylinder has a radius of 2 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 188.5 cm3

  1. V = π × r2 × h = π × 22 × 15
  2. = π × 60
  3. ≈ 188.5 cm3
3.A cylinder has a radius of 3 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 339.3 cm3

  1. V = π × r2 × h = π × 32 × 12
  2. = π × 108
  3. ≈ 339.3 cm3
4.A triangular prism has a triangular end with base 12 cm and height 8 cm. The prism is 5 cm long. Find its volume.

Answer: 240 cm3

  1. Area of the triangle = ½ × 12 × 8 = 48 cm2
  2. V = area of end × length = 48 × 5
  3. = 240 cm3
5.A rectangular prism has a volume of 432 cm3. Its base is 12 cm by 9 cm. Find its height.

Answer: 4 cm

  1. Base area = 12 × 9 = 108 cm2
  2. Height = 432 ÷ 108 = 4 cm
6.A triangular prism has a triangular end with base 20 cm and height 3 cm. The prism is 12 cm long. Find its volume.

Answer: 360 cm3

  1. Area of the triangle = ½ × 20 × 3 = 30 cm2
  2. V = area of end × length = 30 × 12
  3. = 360 cm3
7.A cylinder has a radius of 7 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 2001.2 cm3

  1. V = π × r2 × h = π × 72 × 13
  2. = π × 637
  3. ≈ 2001.2 cm3
8.A rectangular prism has a volume of 90 cm3. Its base is 3 cm by 5 cm. Find its height.

Answer: 6 cm

  1. Base area = 3 × 5 = 15 cm2
  2. Height = 90 ÷ 15 = 6 cm
9.A triangular prism has a triangular end with base 16 cm and height 6 cm. The prism is 10 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 16 × 6 = 48 cm2
  2. V = area of end × length = 48 × 10
  3. = 480 cm3
10.A rectangular prism has a volume of 96 cm3. Its base is 4 cm by 4 cm. Find its height.

Answer: 6 cm

  1. Base area = 4 × 4 = 16 cm2
  2. Height = 96 ÷ 16 = 6 cm
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