Question

A cute a sphere one of same height find the ratio of ther volume

Answer 1

Answer:

Ratio of volume of cube to sphere is 21:11

Step-by-step explanation:

Given information,

1. cube and sphere of same height

This implies that, diameter of sphere is equal to side of cube

Now,

Let a be the side of cube

then, Volume of cube= axaxa= a³

As a= diameter of sphere

radius of sphere= a/2

Volume of sphere=(4 /3)πr³

= (4/3) π(a/2)³

=(4/24) πa³

=(1/6)πa³

= 22/42 a³

=11/21 a³

ratio of volume of cube to sphere

cube:sphere=a³/(11/21) a³

21:11

Ratio of volume of cube to sphere is 21:11