Help with calculus.

Find the dimensions of the right circular cone with maximun volume that is possible to inscribe on a sphere of radius r.

I know that i have to maximize ( using derivatives ) the volume, but im still figuring out the relationship between the volume of the cone and the radius of the sphere.

Thanks

Question

Help with calculus.

Find the dimensions of the right circular cone with maximun volume that is possible to inscribe on a sphere of radius r.

I know that i have to maximize ( using derivatives ) the volume, but im still figuring out the relationship between the volume of the cone and the radius of the sphere.

Thanks

ganeshie8 · Answer

sphere :  x^2 + y^2 + z^2 = r^2

loser66 · Answer

|dw:1403222487034:dw||dw:1403222526385:dw|

loser66 · Answer

the volume of the cone w.r.t the height and the radius of the base. compare the 2, which one is max value of the cone?

loser66 · Answer

don't forget $V_{cone}=\pi r^2 *h$ ( I mean r is square)

loser66 · Answer

and r is maximum when the base of the cone at the middle of the sphere. ha!! I don't know how to say.

loser66 · Answer

@ganeshie8   help me, please. I don't know how to explain