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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madisonperry13 madisonperry13

03-11-2017
Mathematics

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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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xisca xisca · Answer 1 · 2017-11-03T03:48:50+01:00

xisca xisca

03-11-2017

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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