Question

The diameter of the base and height of a right circular cylinder are each equal to diameter of sphere.Find the ratio of their volume

Answer 1

Vol. of cylinder/vol. of sphere= 3/2

Answer 2

let diameter of sphere is X m.
A to Q,. diameter of the base and height of. right circular cylinder =X m.

then volume of cylinder= π r^2 h
= π (X/2)^2 * X
=( π X^3)/4
volume of sphere = 4/3π r^3
=4/3*π*( X/2)^3
=(4/3 * π * X^3)/8
A to Q,,. ratio of their volume=( π* X^3)/4
----------------
( 4/3 *π *X^3)/8
=24:16=3:2