Question

A sphere has a radius of 3 and a hemisphere has a radius of 6. Compare the ratio of the volume of the sphere to the volume of the hemisphere.

Answer 1

volume of the sphere is (4/3)*pi*r^3

Answer 2

\[(4/3)*\pi*r ^{3}\]

Answer 3

volume of the hemisphere is \[(2/3)*\pi*r ^{3}\]

Answer 4

the hemisphere has a volume

\[V = 2/3 \pi 6^3 \]

the sphere has a volume

\[V = 4/3 \pi 3^3\]

Answer 5

to the ratio of the sphere to the hemisphere is

\[36\pi : 144 \pi\]

just simplify the ratios

Answer 6

Thanks so much guys. big help