document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #584671 by Alan3354(69443)\"\" \"About 
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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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\n" ); document.write( "The base of a hemisphere has to be a circle, not a semicircle.
\n" ); document.write( "For the hemisphere,
\n" ); document.write( "\"Vol+=+2pi%2Ar%5E3%2F3\"
\n" ); document.write( "For the cone,
\n" ); document.write( "\"Vol+=+pi%2Ar%5E2%2Ah%2F3\"
\n" ); document.write( "h = r in this case, so
\n" ); document.write( "\"Vol+=+pi%2Ar%5E3%2F3\"
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\n" ); document.write( "You didn't show where the region is, but it's likely the difference between the 2 volumes.
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