SOLUTION: what is the dimensions of a round tank that has a 47 inch diameter and holds 500 gallons

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Question 389860: what is the dimensions of a round tank that has a 47 inch diameter and holds 500 gallons
Answer by MathLover1(6625) About Me  (Show Source):
You can put this solution on YOUR website!

Your tank is cylinder that is 47 inches in diameter so its radius is 23.5in.
The volume of a cylinder is V=Pi%2A+r%5E2%2A+L=500galons where r+is the radius, L is the length and Pi is approximately 3.14
Thus the volume of your tank is
500galons=3.14%2A+%2823.5in%29%5E2%2A+L

500galons=3.14%2A+%28552.25%29in%5E2%2A+L
500galons=+%281734.065%29in%5E2%2A+L...now find L
500galons%2F+%281734.065%29in%5E2=+L

0.29galons%2F+in%5E2=+L

now convert gallons to cubic inches: 1gallon is equal to 231+in%5E3
0.29%2A231+%28in%5E3%2F+in%5E2%29=+L...reduce
66.99+%28in%5Ecross%283%291%2F+in%5Ecross%282%29%29=+L
66.99in=+L.......so, the length (or height) is 66.99in