optimization - cone inscribed in a sphere

**shawli** · November 23rd 2009, 03:33 PM

A right circular cone is inscribe in a sphere of radius 15cm. Find the dimensions of the cone that has the maximum volume.

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Are my equations correct? I can't seem the get the right answers.

h= height of the cone
r= radius of the cone
R=radius of the sphere

?

**skeeter** · November 23rd 2009, 04:20 PM

Originally Posted by shawli

A right circular cone is inscribe in a sphere of radius 15cm. Find the dimensions of the cone that has the maximum volume.

-----

Are my equations correct? I can't seem the get the right answers.

h= height of the cone
r= radius of the cone
R=radius of the sphere

?

did you make a sketch on a set of axes?

$h = R+y$

$r = x$

$V = \frac{\pi}{3} x^2 (R+y)$

$V = \frac{\pi}{3} x^2(R +\sqrt{R^2-x^2})$

find $\frac{dV}{dx}$ and maximize

**bbnotime** · March 26th 2012, 06:08 AM

A right circular cone is inscribed in a sphere of radius 15cm. find the dimensions of the cone that has the maximum volume. Please Help.

**HallsofIvy** · March 26th 2012, 06:26 AM

Please do not "hijack" someone else's thread to ask a new question. Start your own thread.

**cshanholtzer** · March 26th 2012, 08:51 PM

At least it was the exact same question

Thread: optimization - cone inscribed in a sphere

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