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14 July, 16:07

A cone with a radius of 12 cm and a height of 12 cm has the same volume as a cylinder with a radius of 8 cm. What is the height of the cylinder?

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  1. 14 July, 16:11
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    Volume of cone = 1/3 pi r (squared). h

    Volume of Cylinder = pi r (squared). h

    By the problem, they are equal.

    So,

    1/3 pi. 12^2.12 = pi 8^2. h

    h = 144.4/64 = 9

    height of the cylinder is 9cms
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