SOLUTION: Harriet's family just purchased an above ground circular swimming pool. The diameter of the pool is 12 feet. The depth of the pool is 4 feet. How much water is needed to completely

Algebra ->  Volume -> SOLUTION: Harriet's family just purchased an above ground circular swimming pool. The diameter of the pool is 12 feet. The depth of the pool is 4 feet. How much water is needed to completely      Log On


   

Question 51174: Harriet's family just purchased an above ground circular swimming pool. The diameter of the pool is 12 feet. The depth of the pool is 4 feet. How much water is needed to completely fill the pool? Use the formula V=(pie)r(squared)h. Let (pie)=3.14
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The first step, of course, is to find the volume of the circular (really cylindrical) swimming pool.
V+=+%28pi%29r%5E2h Where: r (radius) is 6 ft. and h (depth) is 4 ft. Making these substitutions:
V+=+3.14%286%5E2%29%284%29
V+=+3.14%2836%29%284%29
V+=+452.16 cubic feet.
The next step is to discover how many cubic feet are occupied by 1 U.S. gallon of water.
1 U.S. gallon = 0.1336816 cubic feet.
So, how many of these will fit into 452.16 cubic feet? This sounds like a division problem, so we'll divide 452.16 cubic feet by 0.0336816 cubic feet /gallon.
452.16%2F0.1336816+=+3382.365Gallons (Aproximately)