document.write( "Question 897721: A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top. 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 ft3. \n" ); document.write( "
Algebra.Com's Answer #544257 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The radius is half the diameter, so r=15 feet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let h = tallness of only the straight cylinder portion. The whole silo tallness will be \"highlight_green%28h%2Br%29\". Your question is unclear, but you want a final result of either h or h+r.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Volume of the silo, \"h%2Api%2Ar%5E2%2B%281%2F2%29%284%2F3%29pi%2Ar%5E3=11925pi\".
\n" ); document.write( "\"h%2Api%2Ar%5E2%2B%282%2F3%29pi%2Ar%5E3=11925pi\"
\n" ); document.write( "\"h%2Ar%5E2%2B%282%2F3%29r%5E3=11925\"
\n" ); document.write( "\"hr%5E2=11925-%282%2F3%29r%5E3\"
\n" ); document.write( "\"h=11925%2Fr%5E2-%282%2F3%29%28r%5E3%29%2Fr%5E2\"
\n" ); document.write( "\"h=11925%2F225-%282%2F3%29r\"
\n" ); document.write( "\"h=11925%2F225-2%2A15%2F3\"
\n" ); document.write( "\"h=11925%2F225-10=53-10\"
\n" ); document.write( "\"highlight%28h=43%29\" feet, just the straight cylinder part.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The whole silo from top to bottom is \"43%2B15=58\" feet.
\n" ); document.write( "
\n" ); document.write( "
\n" );