Question

Find the ratio of the volume of a cube to that of a sphere which will it fit inside it

Answer 1

since the sphere fits inside the cylinder it is going to have the same radius as that of the cylinder (also if it is a special case then the height of the cylinder will also be equal to that of it's radius)
so,for case1=
πr^2h:4/3πr^3
=r^2h:4/3r^3
=h:4/3r
=3h:4r(Ans)
case 2=(if h=r)
=3:4(Ans).