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April 2, 2015

April 2, 2015

Posted by **rolan** on Monday, August 13, 2012 at 12:32pm.

my answer :

R = radius of bigger cone = 6 ft

r = radius of smaller cone…?

H = height of bigger cone = 12 ft

h = height of smaller cone?

r/R = H-h/H

r/6 = 12-h/12

r = 12-h/2

V = 1/3 r^2h

= 1/3 (12-h/2)^2 h

= 1/3 (144-h^2/4) h

Please help me to complete this assignment…

- math -
**Steve**, Monday, August 13, 2012 at 2:48pmYou are ok up to your last line:

[(12-h)/2]^2 = (144-24h+h^2)/4

so,

v = pi/12 (144h-24h^2+h^3))

dv/dh = pi/12(144-48h+3h^2)

dv/dh=0 when h=4,12

Naturally, v=0 when h=12, so

v(4)=64pi/3

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