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 pumpe

Question

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.

Answer 1

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