Question

An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of and a depth of . Suppose water is pumped into the pool at a rate of per hour. How many hours will it take to fill the empty pool?Use the value for , and round your answer to the nearest hour. Do not round any intermediate computations.

Answer 1

Given: diameter of 8m , depth is 1.4m and water is pumped into pool at a rate of 19 meter cube.

Find: number of hours to fil the pool.

Explanation: the formula for the volume of a cylinder is

$\pi r^2h$

the problem gives d=8m , so r=4m

the pool holds

$\begin{gathered} (3.14)\times(16)\times(1.4) \\ =70.336m^3 \end{gathered}$

At a rate of 19 meter cube per hour :

$\begin{gathered} \frac{70.336}{19} \\ =3.7018hr \end{gathered}$

Final answer: the required answer is 3.7018 hr