Question

A cylinder and cone have bases of equal radii and are of equal heights. SHOW that their volumes are in the ratio of 3:1.

Answer 1

Let the radius be r
Height be h

Volume of cylinder,V₁ = πr²h

Volume of cone,V₂ = (1/3)πr²h

Ratio,V₁:V₂ = πr²h: [(1/3)πr²h]
                   =3 :1

Answer 2

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