Question

if the radius of a sphere is equal to the length of the sides of a cube, are their volumes equal? why or why not?

Answer 1

Well I don't know !
Let's get together and look into it.

The radius of the sphere and the side of the cube have
the same length. Let's call that length ' L ' .

The volume of the cube is ( L³ ) .

The volume of the sphere is (4/3) (pi) (L³) .

Taking several minutes to examine those quantities carefully,
I noticed that

( L³ ) is not equal to (4/3) (pi) (L³) .

So it's pretty clear that the cube and the sphere
DO NOT have equal volumes.