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 a sphere:
V=4/3 π r³

V=4/3 π 3³ = 113.097335529

Volume of a Hemisphere:
V=½(4/3 π r³)

V=½(4/3 π 6³) = 452.389342117

113.097335529 to 452.389342117

Pretty much 1/4 right on the nuts (0.24999999999944737866981989309472)

Answer 2

S=(4πr^3)/3, H=(4πr^3)/6

S/H=2rs^3/rh^3

S/H=(2*3^3)/6^3

S/H=54/216

S/H=1/4

So the volume of the hemisphere is 4 time the volume of the sphere.