Question

a sphere has a radius of 3 and a hemisphere has a radius of 6. compare ratio of vulume of the sphere to the volume of the hemisphere

Answer 1

\[V=\frac{4}{3} \pi r^3\]
That's the volume of a sphere

A hemisphere will be half the volume

\[V=\frac{1}{2}\frac{4}{3} \pi r^3=\frac{2}{3} \pi r^3\]

That's the volume of a hemisphere.


Plug in values of r and see what you get.