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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asked Apr 12, 2018 197k views

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David Faber · Answer 1 · 2018-04-16T14:38:59+0000

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

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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