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Second Year maths · N.15 · Volume of cylinders, cones and spheres

Volume of a cone from the matching cylinder

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

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  1. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 243π cm³. What is the volume of the cone, in terms of π? Write it like 12π.

    Answer: 81π

  2. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 99π cm³. What is the volume of the cone, in terms of π? Write it like 12π.

    Answer: 33π

  3. A cylinder and a cone have the same radius and the same height. The cylinder has a volume of 1377π cm³. What is the volume of the cone, in terms of π? Write it like 12π.

    Answer: 459π

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

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