document.write( "Question 196935: construct a barrel(shape of a right cylinder) to hold 150gals need top and bottom diameter 2 1/2ft. what must the height of the barrel be to the nearest 1/2in.?\r
\n" ); document.write( "\n" ); document.write( "I've got the circumference of the barrel to be 94in. would I use perimeter or what? HELP!
\n" ); document.write( "Thanks tammy
\n" ); document.write( "

Algebra.Com's Answer #147667 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
construct a barrel(shape of a right cylinder) to hold 150gals need top and
\n" ); document.write( " bottom diameter 2 1/2ft. what must the height of the barrel be to the nearest
\n" ); document.write( " 1/2in.? I've got the circumference of the barrel to be 94in.
\n" ); document.write( "We don't need the circumference.
\n" ); document.write( ":
\n" ); document.write( "A few simple facts will make this easy to understand:
\n" ); document.write( ";
\n" ); document.write( "The shape of a barrel is a cylinder
\n" ); document.write( ":
\n" ); document.write( "The volume of cylinder: V = \"pi%2Ar%5E2%2Ah\"
\n" ); document.write( ":
\n" ); document.write( "If the diameter is 2.5 ft, the radius = 1.25 ft
\n" ); document.write( ":
\n" ); document.write( "The volume is in cubic ft: 1 cu ft = 7.481 gallons
\n" ); document.write( "therefore 150 gallons equal:
\n" ); document.write( "\"150%2F7.481\" = 20.05 cu ft
\n" ); document.write( ":
\n" ); document.write( "The equation:
\n" ); document.write( "\"pi%2A1.25%5E2%2Ah\" = 20.05
\n" ); document.write( "4.91h = 20.05
\n" ); document.write( "h = \"20.05%2F4.91\"
\n" ); document.write( "h = 4.08 ~ 4 ft is the height of barrel which holds 150 gal with 2.5 ft diameter
\n" ); document.write( ";
\n" ); document.write( ";
\n" ); document.write( "Check solution:
\n" ); document.write( "\"pi%2A1.25%5E2%2A4.08\" * 7.481 = 149.8 ~ 150gal
\n" ); document.write( "
\n" ); document.write( "
\n" );