Follow this as an example
An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of
10 m
and a depth of
1.4 m
. Suppose water is pumped into the pool at a rate of
11 m3
per hour. How many hours will it take to fill the empty pool?
Use the value
3.14
for
π
, and round your answer to the nearest hour. Do not round any intermediate computations.
The formula for the volume of a cylinder is ∏r2h. The problem gives d=10m, so r=5m.
The pool holds (3.14)*52*1.4 m3 = 109.9 m3 of water.
At a rate of 11 m3 per hour:
( 109.9 m3 ) / (11 m3/hr) = 9.990909 hr.
rounding to the nearest hour, this is 10 hours
