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 th

Question

Rina8888 [55]

3 years ago

13

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 th

e hemisphere.

Mathematics

2 answers:

Trava [24] · Answer 1 · 2022-06-17T12:38:02+03:00

Trava [24]3 years ago

8 0

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.

mixas84 [53] · Answer 2 · 2022-06-17T14:11:48+03:00

mixas84 [53]3 years ago

3 0

Volume of a sphere:
V=4/3 π r³

V=4/3 π 3³ = <span>113.097335529
</span>
Volume of a Hemisphere:
V=½(4/3 π r³)

V=½(4/3 π 6³) = <span>452.389342117
</span>
113.097335529 to 452.389342117

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