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Posted by **Mel** on Monday, December 17, 2012 at 9:32pm.

- math-calculus -
**Reiny**, Monday, December 17, 2012 at 9:45pmV = (4/3)πr^3

dV/dt = 4π r^2 dr/dt

given : dV/dt = 12 , and r = 1

12 = 4π (1) dr/dt

dr/dt = 3/π ft/min

- math-calculus -
**Mel**, Monday, December 17, 2012 at 10:40pmThank you! I initially thought the given rate of 12 cubic feet per minute was dr/dt.

- math-calculus -
**Reiny**, Monday, December 17, 2012 at 11:15pmThe units are usually your give-away.

it says 12 cubic feet/min which is volume/time , so dV/dt

This will work in most cases.

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