Posted by **corinne** on Friday, February 4, 2011 at 1:37am.

If a swimming pool that has a diameter of 40 feet and a height of 5 feet can be filled in 50 minutes, how long will it take to fill a pool that has a diameter of 36 feet and a height of 6 feet?

- math -
**MathMate**, Friday, February 4, 2011 at 5:53am
We will start with calculating the volume of the pool, V

V=πr²h

=π(40/2)²*5

=6283 cubic feet

Filling time = 50 minutes

Filling rate, R, is in cubic feet per minute

R=6283/50=125.66 cubic feet/minute

Volume of second pool

= π(36/2)²*6

= 6107 cubic feet

Filling time

= 6107/R

= 48.6 minutes

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