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August 30, 2014

August 30, 2014

Posted by **Sarah** on Wednesday, November 28, 2012 at 5:24pm.

- Calculus -
**Steve**, Wednesday, November 28, 2012 at 5:48pma = 2pi r^2 + 2pi rh = 600pi

h = (600pi - 2pi r^2)/(2pi*r)

= 300/r - r

v = pi r^2 h

= pi r^2 (300/r - r)

= 300pi r - pi r^3

dv/dr = 300pi - 3pi r^2

dv/dr = 0 when r = 10

so, h = 20

max v = pi * 100 * 20 = 200pi

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