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DrummingAtom
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Homework Statement
2 Cylindrical pools are filled simultaneously at the same rate, 1m3/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(r2)h
The Attempt at a Solution
I took the derivative of V with respect to h and got:
dV/dt = pi(r2)(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(52) = dh/dt and this doesn't equal 0.5m3/min.
Thanks for any help.