- #1

DrummingAtom

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## Homework Statement

2 Cylindrical pools are filled simultaneously at the same rate, 1m

^{3}/min. The smaller pool has radius 5m and the water level rises at a rate of 0.5m/min. The larger pool has a radius 8m. How fast is the water level rising in the larger pool?

## Homework Equations

V = pi(r

^{2})h

## The Attempt at a Solution

I took the derivative of V with respect to h and got:

dV/dt = pi(r

^{2})(dh/dt)

Which dV/dt = 1 and then I just solve for dh/dt. But, if I'm doing this right, the smaller pool should yield the same answer and it doesn't. Because for the smaller pool I would have:

1/pi(5

^{2}) = dh/dt and this doesn't equal 0.5m

^{3}/min.

Thanks for any help.