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Volume of a cone from the matching cylinder

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

A cone has one third of the volume of a cylinder with the same radius and height.

  1. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 900π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  2. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 150π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  3. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 1620π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  4. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 1053π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  5. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 189π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  6. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 768π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  7. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 2736π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  8. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 2016π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  9. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 147π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  10. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 588π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  11. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 234π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  12. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 675π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  13. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 2835π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  14. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 351π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  15. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 4176π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  16. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 24π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  17. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 1050π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  18. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 9702π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  19. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 12696π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
  20. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 1458π cm³. What is the volume of the cone, in terms of π? Write it like 12π.
More free practice: fieldbooklearning.com/au/practice/year-8/volume-of-a-cone-from-the-matching-cylinder/

Answer key: Volume of a cone from the matching cylinder

  1. 300π
  2. 50π
  3. 540π
  4. 351π
  5. 63π
  6. 256π
  7. 912π
  8. 672π
  9. 49π
  10. 196π
  11. 78π
  12. 225π
  13. 945π
  14. 117π
  15. 1392π
  16. 8π
  17. 350π
  18. 3234π
  19. 4232π
  20. 486π