Question

a cone and a cylinder are having the same base find the ratio of their height if their volume are equal

Answer 1

Let the h and H be the height of cone and cylinder respectively.

Suppose the radius of base of the cone and cylinder be r.



Given, Volume of cone = Volume of cylinder



Thus, the ratio of height of the cone to the height of the cylinder is 3:1.

Answer 2

Ratio of height of cone and cylinder=volume of cylinder/volume of cone
=πr²h/1/3πr²h
=h/1/3h
=3h/h
=3h:h
height of cylinder is 3 times of volume of cone
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