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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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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?

User Tiurin
by
7.9k points

1 Answer

6 votes
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



User David Faber
by
9.1k points
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