Question

if a spheare is inscribed in a cube, find the ration of the volume of cube to the volume of the sphear ​

Answer 1

Answer:

Step-by-step explanation:

let r be the radius of sphere

then volume of sphere is = [4/3]$\pi$r^3

sphere is inscribed in a cube

side of cube = diameter of sphere = 2r

volume of cube =a^3 =[2r]^3 =8r^3

ratio of volumes     8r^3 : [4/3]$\pi$r^3

                                     8:[4/3]$\pi$

                                     24:4$\pi$

                                       6:$\pi$