An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of 8 m and a depth of 1.9 m. Suppose water is pumped into the pool at a rate of 16 m3 per hour. How many hours will it take to fill the empty pool?

Question

Mathematics

Angelina

1 June, 01:09

An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of 8 m and a depth of 1.9 m. Suppose water is pumped into the pool at a rate of 16 m3 per hour. How many hours will it take to fill the empty pool?

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Answers (2)

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Sam Miller · Answer 1

5.97 hours to the nearest hundredth.

Step-by-step explanation:

The volume of water in the pool = π r^2 h

= π * 4^2 * 1.9 m^3

Time to fill the pool = (π * 4^2 * 1.9) / 16

= 5.97 hours.

Dayanara Wolfe · Answer 2

Step-by-step explanation:

volume of the pool=3.14*4²*1.9=95.456 m³

time required=96.456:16=5.966 hrs≈10 hrs