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December 18, 2014

December 18, 2014

Posted by **Jay** on Monday, November 22, 2010 at 7:44pm.

2 m^3 /min, find the rate at which the water level is rising when the water is 3 m deep.

- Calculus -
**Reiny**, Monday, November 22, 2010 at 9:12pmlet the height of the water be h m

let the radius of the water be r m

by ratios : h/r = 5/3

5r = 3h

r = 3h/5

Volume = (1/3)π r^2 h

= (1/3)π(9h^2/25)h

= (3π/25)h^3

d(Volume)/dt = (9π/25)h^2 dh/dt

2 = (9π/25)(9)dh/dt

dh/dt = 50/(81π) m/s

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