Question

The volumesand the heights of a cylinder and a cone are equal. find the ratio of the radii of thier Bases
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Answer 1

Radius of cone 'R' and radius of cylinder'r'

let height of the cylinder be "x'

hence height of the cone  also be"x"(given that height of cylinder and cone are equal)

and,

vol.of cone =vol.of cylinder

1/3(x)(22/7)(R)^2=(22/7)(r)^2(x)

height and pi will be cancelled off from both side

now,1/3(R)^2=(r)^2

=>1/3R=r

=>1/3=r/R

therefore r:R=1:3