document.write( "Question 33158: A circular swimming pool with a diameter of 30 ft and a horizontal bottom contains 22,000 gal of water. What is the depth of the water in the pool? (one cubic foot contains approx. 7.5 gal of water) \n" ); document.write( "
Algebra.Com's Answer #20061 by kietra(57)![]() ![]() ![]() You can put this solution on YOUR website! The basics of the problem are that you are finding the volume of water in a pool which is a cyllinder shape. The formula for volume is V= (r^2)(h)(pi). Notice the formula requires the radius but we are given diamter so cut the diameter in half to get radius- half of 30 is 15.\r \n" ); document.write( "\n" ); document.write( "Substituting what we know and simplifying: \n" ); document.write( "22,000 gal = (15ft^2)(H)(pi) \n" ); document.write( "(22,000gal)/(255 ft^2)(pi) = (H) H is in ft. \n" ); document.write( "31.1236gal/sq.ft = H ft \n" ); document.write( "Using 1cubic foot per 7.5 gal of water, we divide 31.1236 gal/7.5 giving you H=4.1498 \n" ); document.write( " |