The spheres radius is 1/3 the radius of the hemisphere how does the volume of the hemisphere compare with the volume of the sphere

Let the radius of the hemisphere be x, the radius of the sphere is 1/3x

the volume of the sphere will be:

V=4/3πr³

V=4/3*π * (1/3x) ³

V=4/81πx³

Volume of the hemisphere will ve:

V=1/2*4/3πr³

v=2/3*π*x³

v=2/3πx³

comparing the two volume by dividing the the volume of the hemisphere by that of the sphere we obtain:

(2/3πx³) / (4/81πx³)

=13.5

this implies that the volume of the hemisphere is 13.5 times the volume of the sphere.