SOLUTION: 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. I calculated the ratio to be 3^3 :

Question 626336: 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.
I calculated the ratio to be 3^3 : 6^3 = 27: 126 or 1:8 but think I have missed something re the sphere and hemisphere idea.
Please advise.
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A hemisphere is simply half a sphere, which means it has half of the volume of the original sphere.

Put another way, the volume of the sphere is double the volume of the hemisphere.

Therefore, the ratio of the volume of the sphere to the volume of the hemisphere is 2:1
RELATED QUESTIONS
I'm stuck on one question on my homework assignment! Please help me I am totally lost.. (answered by Alan3354)

If a sphere has radius 5 m. what is the volume of the... (answered by Cromlix)

If a sphere has radius 5 m. what is the volume of the... (answered by rothauserc)

A sphere has a volume of 457 4/3 pi m3. the radius is halved. What is the new radius and... (answered by Alan3354)

A cone has a radius of R and a height of 2R. A sphere has a radius of R. compare the... (answered by macston)

what is the volume of a sphere that has a radius of 6 inches. (answered by ewatrrr)

A sphere has a radius of 6. Which of the following are true? -the volume of a... (answered by solver91311)

Find the surface area and the radius of a sphere that has a volume of... (answered by Alan3354)