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March 6, 2015

March 6, 2015

Posted by **Liz** on Thursday, May 17, 2012 at 10:59pm.

- Calculus -
**Steve**, Thursday, May 17, 2012 at 11:31pmwhen the water is at height x, by similar triangles, the radius r of the surface is given by

r/x = 2/6, so r = x/3

v = 1/3 pi (x/3)^2 * x

= pi/27 x^3

dv/dt = 2pi/27 x^2 dx/dt

-4 = 2pi/27 (25) dx/dt

dx/dt = -54/25pi = -.69 in/s

- Calculus - correction -
**Steve**, Thursday, May 17, 2012 at 11:34pmdv/dt = 3pi/27 x^2 dx/dt

-4 = pi/9 (25) dx/dt

dx/dt = -36/25pi = -.46 in/s

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