Question

find the ratio of the volumes of a cube to to that of a sphere

Answer 1

Hey mate,

GoodMorning... :)

The sphere which exactly fits into the cube will have the diameter as the same as the side of the cube.

If ′l′ is the side of the cube , then

Volume of the cube (V1)=l3

Volume of the sphere (V2)=43π(l2)3

∴V1:V2 is l3:43π(l2)3

⟹l3:43πl38

⟹l3:πl36

⟹6:π

Hope this will help you.. :)

Answer 2

Vcube = s3 where s is the side length.

Vsphere = (4/3)·pi·r3 where r is the sphere'sradius.

3√(3/4pi) = r/s.