document.write( "Question 1181724: 17. Find the volume of the largest right circular cylinder of altitude 8 in. that can be cut from a sphere of diameter 12 in. \n" ); document.write( "
Algebra.Com's Answer #850000 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "There largest right circular cylinder with height 8 that can be cut from a sphere with diameter 12 is the cylinder that can be inscribed in the sphere.

\n" ); document.write( "For that cylinder, each base is 8/2 = 4 units from the center of the sphere. Then, from the Pythagorean Theorem, with the radius of the sphere being 6, the radius of each base of the cylinder is 2*sqrt(5).

\n" ); document.write( "And then the volume of the cylinder is

\n" ); document.write( "\"V=%28pi%29%28r%5E2%29%28h%29=%28pi%29%2820%29%288%29=160pi\"

\n" ); document.write( "ANSWER: 160pi

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