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September 22, 2014

September 22, 2014

Posted by **Corey** on Wednesday, November 5, 2008 at 10:38am.

- ap Calculus -
**Dr Russ**, Wednesday, November 5, 2008 at 11:13amvolume of cone is

V=4/3(pi)r^2h

s^2=r^2+h^2 or s^2-h^2=r^2

V=4/3(pi)(s^2-h^2)h

if 4/3(pi)=k

V=k(144-h^2)h

V=144kh-kh^3

volume is a max when dV/dh is zero

dV/dh = 144k-3kh^2

144k-3kh^2 = 0

144k = 3kh^2

48=h^2

this gives you h, from which you can find r from

s^2-h^2=r^2

please check my maths!

- ap Calculus -
**Reiny**, Wednesday, November 5, 2008 at 11:23amI am sure that Dr Russ meant to type

volume of cone is

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

- ap Calculus -
- ap Calculus -
**Dr Russ**, Thursday, November 6, 2008 at 3:40amYes oops!

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