document.write( "Question 1085020: A cylinder with a volume of 576pi m3 is circumscribed about a square prism which has one side of the base that measures 8m. What is the altitude of the cylinder? \n" ); document.write( "

Algebra.Com's Answer #699027 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A cylinder with a volume of 576pi m3 is circumscribed about a square prism which has one side of the base that measures 8m.
\n" ); document.write( " What is the altitude of the cylinder?
\n" ); document.write( ":
\n" ); document.write( "The diagonal of the square base of the prism is also the diameter of the base of the cylinder
\n" ); document.write( "d = $\"sqrt%288%5E2%2B8%5E2%29\"$
\n" ); document.write( "d = 11.314 m diameter
\n" ); document.write( "r = 11.314/2 = 5.657 is the radius
\n" ); document.write( "therefore
\n" ); document.write( " $\"pi%2A5.657%5E2%2Ah+=+576%2Api\"$
\n" ); document.write( "divide both sides by pi, square 5.657
\n" ); document.write( "32h = 576
\n" ); document.write( "h = 576/32
\n" ); document.write( "h = 18 m is the altitude of the cylinder \n" ); document.write( "

\n" );