Question

A solid cylinder of base of 36 cm diameter is melted and recast into a solid cone of height 24 cm and radius of the base 36 cm. Height of the cylinder is

Answer 1

let height of cylinder =H
volume of cylinder =πr^2H
=π(18)^2H

volume of cone =πR^2h/3
=π(36)^2 x 24/3

because cylinder melt to formed cone
hence,
vol of cylinder= vol of cone
π(18)^2H=π(36)^2 x 8

(18)^2 H=(36)^2 x 8

H=(36 x 36 x 8)/(18 x 18)

=32cm