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Find the height of a cylinder or cone from its volume

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

Work backwards from the volume formula to find the missing length.

  1. A cone has a volume of 200.96 cm³ and a radius of 4 cm. Use π = 3.14. What is its height, in cm?
  2. A cylinder has a volume of 480.42 cm³ and a radius of 3 cm. Use π = 3.14. What is its height, in cm?
  3. A cone has a volume of 678.24 cm³ and a radius of 6 cm. Use π = 3.14. What is its height, in cm?
  4. A cone has a volume of 100.48 cm³ and a radius of 4 cm. Use π = 3.14. What is its height, in cm?
  5. A cone has a volume of 1004.8 cm³ and a radius of 8 cm. Use π = 3.14. What is its height, in cm?
  6. A cylinder has a volume of 6908 cm³ and a radius of 10 cm. Use π = 3.14. What is its height, in cm?
  7. A cylinder has a volume of 251.2 cm³ and a radius of 4 cm. Use π = 3.14. What is its height, in cm?
  8. A cone has a volume of 113.04 cm³ and a radius of 6 cm. Use π = 3.14. What is its height, in cm?
  9. A cone has a volume of 37.68 cm³ and a radius of 2 cm. Use π = 3.14. What is its height, in cm?
  10. A cone has a volume of 549.5 cm³ and a radius of 5 cm. Use π = 3.14. What is its height, in cm?
  11. A cone has a volume of 803.84 cm³ and a radius of 8 cm. Use π = 3.14. What is its height, in cm?
  12. A cone has a volume of 5306.6 cm³ and a radius of 13 cm. Use π = 3.14. What is its height, in cm?
  13. A cylinder has a volume of 27204.959999999999 cm³ and a radius of 19 cm. Use π = 3.14. What is its height, in cm?
  14. A cylinder has a volume of 45341.599999999999 cm³ and a radius of 19 cm. Use π = 3.14. What is its height, in cm?
  15. A cone has a volume of 2411.52 cm³ and a radius of 16 cm. Use π = 3.14. What is its height, in cm?
  16. A cylinder has a volume of 314 cm³ and a radius of 5 cm. Use π = 3.14. What is its height, in cm?
  17. A cylinder has a volume of 5086.8 cm³ and a radius of 9 cm. Use π = 3.14. What is its height, in cm?
  18. A cone has a volume of 2000.18 cm³ and a radius of 7 cm. Use π = 3.14. What is its height, in cm?
  19. A cone has a volume of 628 cm³ and a radius of 10 cm. Use π = 3.14. What is its height, in cm?
  20. A cylinder has a volume of 9664.92 cm³ and a radius of 9 cm. Use π = 3.14. What is its height, in cm?
More free practice: fieldbooklearning.com/uk/practice/year-9/find-the-height-of-a-cylinder-or-cone-from-its-volume/

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Answer key: Find the height of a cylinder or cone from its volume

  1. 12
  2. 17
  3. 18
  4. 6
  5. 15
  6. 22
  7. 5
  8. 3
  9. 9
  10. 21
  11. 12
  12. 30
  13. 24
  14. 40
  15. 9
  16. 4
  17. 20
  18. 39
  19. 6
  20. 38