math
posted by corinne on .
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?

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