SOLUTION: A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 7 m and a depth of 1.7 m. Suppose water is pumped out of the pool at a rate

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Question 1139257: A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 7 m and a depth of 1.7 m. Suppose water is pumped out of the pool at a rate of 11 m3 per hour. If the pool starts completely full, how many hours will it take to empty the pool?
Use the value 3.14 for π, and round your answer to the nearest hour. Do not round any intermediate computations.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A swimming pool has to be drained for maintenance.
The pool is shaped like a cylinder with a diameter of 7 m and a depth of 1.7 m.
Suppose water is pumped out of the pool at a rate of 11 m3 per hour.
If the pool starts completely full, how many hours will it take to empty the pool?
:
Find the volume of the cylinder which, in this case, is the volume of the water.
Radius = 7/2 = 3.5 m
V = 3.14%2A3.5%5E2%2A1.7
V = 65.3905 cu/m
Find how long it takes to pump 65.3905 cu/m with pump that pumps 11 cu/m per hr
65.3905%2F11 = 5.94459 ~ 6 hrs