Question

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 10 m and a depth of 1.2 m. Suppose water is pumped out of the pool at a rate of 19 m³ per hour. If the pool starts completely full, how many hours will it take to empty the pool? Use the value 3.14 for t, and round your answer to the nearest hour. Do not round any intermediate computations.

Answer 1

The radius,r, of the cylindrical swimming pool is 10/2 = 5m

By formula,

The volume of the swimming pool is;

$V=\pi r^2h=3.14\times5^2\times1.2=94.2m^3$

The number,n, of hours needed to empty the swimming pool at a rate of 19 cubic meters per hour:

$n=\frac{\text{Volume}}{19}=\frac{94.2}{19}=4.958\approx5\text{ hours}$