SOLUTION: with identical radii, what are the relative volumes of a cone, a cylinder, and a hemisphere. All the best, Joe

Algebra ->  Volume -> SOLUTION: with identical radii, what are the relative volumes of a cone, a cylinder, and a hemisphere. All the best, Joe      Log On


   

Question 942066: with identical radii, what are the relative volumes of a cone, a cylinder, and a hemisphere.
All the best,
Joe
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
That is faulty. Cone has a height AND a radius; Cylinder has a height AND a radius. Hemisphere will only have a radius.


Height and radii all the same!
Like r=h. Same r for each of the shapes.

From the formulas for the volumes,
CONE, %281%2F3%29r%2Api%2Ar%5E2=highlight%28%28pi%2F3%29r%5E3%29
CYLINDER, r%2Api%2Ar%5E2=highlight%28pi%2Ar%5E3%29
HEMISPH, %281%2F2%29%2A%284%2F3%29pi%2Ar%5E3=highlight%28%282%2F3%29pi%2Ar%5E3%29

The relative order should be easily enough found from those.