Question

A cube and a sphere has the same height . Find the ratio of volume.

Answer 1

Given sphere and cube have same height. That is side of cube = diameter of sphere. a = d or a = 2r. Volume of sphere : Volume of cube = (4/3)πr3 : a3= (4/3) πr3 : (2r)3 = (4/3)πr3 : 8r3 = (4/3)(22/7) : 8 = (88/21) : 8 = (11/21) : 1 = 11:21.