Question

what are the dimension of ....(a) volume of a cube of edge a (b) volume of sphere of radius a (c). the ratio of the volume of a cube of edge a to the volume of a sphere of radius a?

Answer 1

Volume of given cube = a³

Volume of given sphere =
$\frac{4}{3} \pi {a}^{3}$
hence ratio of volume of cube to volume of sphere is

a³ : 4/3πa³

Simplifying we get
$\frac{ {a}^{3} }{ \frac{4}{3} \pi {a}^{3} } \\ = \frac{1}{ \frac{4}{3} \pi}$
hence ratio =

1: 4/3 π


Hope it helps dear friend ☺️✌️