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August 30, 2014

August 30, 2014

Posted by **Z32** on Friday, September 25, 2009 at 1:33am.

I got it down to pi/4 * (4/9)^2 *(350)^2 * 28 = 532131.4956 but it's not right. Any suggestions?

- Calculus -
**Reiny**, Friday, September 25, 2009 at 8:33amlet the height of the water be h cm

let the radius of the water level be r cm

by similar triangles, r/h = 2/9 , r = 2h/9

V = (1/3)pi(r^2)h

= (1/3)pi(4/81)(h^2)h = (4pi/243)h^3

dV/dt = (4pi/81)(h^2)dh/dt

= (4pi/81)(350)(28) = 1520.375 cm^3/min

check my calculations

- oops - Calculus -
**Reiny**, Friday, September 25, 2009 at 8:39amI did it again!

forgot to square the 350 in the last line

(4pi/81)(350)^2(28) = 532131.4964 cm^3/min

which makes it exactly the same as your answer!

MMMHHHH ?

- Calculus -
**Z32**, Friday, September 25, 2009 at 9:52amWhat the heck? haha.

I was going crazy could I could've swore I did my calculations right. Oh well, thanks for the help man. I appreciate it.

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