Question

An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of 9 m and a depth of 1.7 m. Suppose water is pumpedinto the pool at a rate of 16 m per hour. How many hours will it take to fill the empty pool?

Answer 1

Step-by-step explanation:

Volume of the cylindrical pool:

`\begin{gathered} V=\text{ }\pi r^2h \\ \text{ = }\pi(4.5^2)(1.7) \\ \text{ = 108.149 m}^3\text{ of water} \end{gathered}`

At a rate of 16m per hour:

108.149/16 = 6.759 hours

Answer: Rounded to the nearest hour, it will take 7 hours.6