document.write( "Question 1137050: Mrs. Moser wants a patio in the shape of a half-circle with a flat side of 16ft. How much concrete, to the nearest hundreth of a cubic yard, will she need if the patio slab is to be 4 inches thick? \n" ); document.write( "
Algebra.Com's Answer #754886 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the patio will form half of a cylinder that has a diameter of 8 feet and a depth of 1/3 of a foot because 4 inches = 1/3 of a foot.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the volume of a cylinder is equal to pi * r^2 * h\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "r is the radius and h is the height.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since the radius is half the diameter, the radius is 8 feet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the volume of the cylinder is pi * 8^2 * 1/3 = 67.02064328 cubic feet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "half of that is 33.51032164 cubic feet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "there are 27 cubic feet in 1 cubic yard.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "therefore the volume of the patio will be 33.51032164 / 27 = 1.241123024 cubic yards.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "mrs. moser will need 1.24 cubic yards of concrete to the nearest 100th of a cubic yard.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );