An empty swimming pool needs to be filled to the top. the pool is shaped like a cylinder with a diameter of 6m and a depth of 1.7 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. someone me

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

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