document.write( "Question 988651: A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 30 feet, but the height is yet to be determined. Find the height h of the silo that will result in a capacity of 13,500π ft3.\r
\n" ); document.write( "\n" ); document.write( "I got 50 as the height by 13500π= (1/2(4/3*15^3))+((15^2)h) and solving for h. however i was told the answer is 65
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Algebra.Com's Answer #609144 by Boreal(15235)\"\" \"About 
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The height is the height of the cylinder plus the radius of the hemisphere on top.
\n" ); document.write( "Volume of the height part is V=pi*r^2h=225pi*h\r
\n" ); document.write( "\n" ); document.write( "The hemisphere has volume (2/3)*pi*15^3, since the \"height\" of the top is really the radius of the hemisphere. That is 2250pi
\n" ); document.write( "That leaves 225pi*h=11,250 pi, subtracting the top.
\n" ); document.write( "11250 pi/225 pi=50, as you had.\r
\n" ); document.write( "\n" ); document.write( "BUT, that is the height of the non-hemisphere part.
\n" ); document.write( "The hemisphere itself is the radius high, or 15 feet in its own right.
\n" ); document.write( "So the sum of 50+15 is 65 feet.\r
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