SOLUTION: a cone and a hemisphere share the base that is a semicircle with radius 3 and the cone is inscribed inside the hemisphere. find the volume of the region inside the hemisphere

Algebra ->  Volume -> SOLUTION: a cone and a hemisphere share the base that is a semicircle with radius 3 and the cone is inscribed inside the hemisphere. find the volume of the region inside the hemisphere      Log On


   



Question 956871: a cone and a hemisphere share the base that is a semicircle with radius 3 and the cone is inscribed inside the hemisphere. find the volume of the region inside the hemisphere
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a cone and a hemisphere share the base that is a semicircle with radius 3 and the cone is inscribed inside the hemisphere. find the volume of the region inside the hemisphere
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The base of a hemisphere has to be a circle, not a semicircle.
For the hemisphere,
Vol+=+2pi%2Ar%5E3%2F3
For the cone,
Vol+=+pi%2Ar%5E2%2Ah%2F3
h = r in this case, so
Vol+=+pi%2Ar%5E3%2F3
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You didn't show where the region is, but it's likely the difference between the 2 volumes.