Question

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 1.3 m. Suppose water is pumped into the pool at a rate of 17m ^ 3 per hourHow many hours will it take to fill the empty pool? Use the value 3.14 for and round your answer to the nearest hour. Do not round any intermediate computations pi

Answer 1

First, we need to find the volume of the pool. Since it is a cylinder we can calculate its volume as follows:

`\begin{gathered} V=\pi r^2h \\ where: \\ r=(8)/(2)=4m \\ h=1.3 \\ so: \\ V=\pi(4^2)1.3 \\ V=20.8\pi_{\text{ }}m^3 \end{gathered}`

Let:

t = time required to fill the pool

t will be given by:

`\begin{gathered} t=(V)/(r) \\ where: \\ r=(17m^3)/(h) \\ so: \\ t=(20.8\pi m^3)/((17m^3)/(h)) \\ t\approx4h \end{gathered}`

Answer:

4 hours