Question

the volumes and the heights of a cylinder and a cone are equal. find the ratio of the radii of their bases.

Answer 1

Answer:

Step-by-step explanation:

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