document.write( "Question 1203360: 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 11,925π ft^3 \n" ); document.write( "

Algebra.Com's Answer #838856 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The radius of the cylinder and hemisphere is 15 ft.

\n" ); document.write( "The volume of the hemisphere is

\n" ); document.write( " $\"%282%2F3%29%28pi%29%2815%5E3%29=2250+pi\"$

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

\n" ); document.write( " $\"11925pi-2250pi=9675pi\"$

\n" ); document.write( " $\"%28pi%29%28r%5E2%29%28h%29=%28pi%29%28225%29%28h%29=9675pi\"$
\n" ); document.write( " $\"h=9675%2F225=43\"$

\n" ); document.write( "The height of the cylinder is 43 feet.

\n" ); document.write( "ANSWER: The height of the silo is 43+15 = 58 feet

\n" ); document.write( " \n" ); document.write( "

\n" );