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A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 6 m and a depth of 1.3 m. Suppose water is pumpedout of the pool at a rate of 12 m' per hour. If the pool starts completely full, how many hourswill it take to empty the pool?

Sagot :

In this case, we going to need the formula for the volume of a cylinder:

[tex]\pi r^2h[/tex]

being r the radius and h the depth

[tex]\pi\cdot3^2\cdot1.3=36.7566[/tex]

The ratio of pumped is 12

so we divide the volume of the pool by the ratio to get the time

[tex]\frac{36.7566}{12}=3.0630[/tex]

Answer: 3.063 hours

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