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## Homework Statement

## Homework Equations

Volume of cone= (1/3)*pi*r^2*h

Volume of sphere= (4/3)*pi*r^3

Surface area of sphere 4*pi*r^2

## The Attempt at a Solution

primary equation is V(cone)= (1/3)pi*r^2*h---> V(cone)= (1/3)pi*(r-h/2)^2*h

constraint: constraint:V(sphere)= (4/3)*pi*r^3

***from pathagorean theorem, I have to find the radius of the cone because the radius of the sphere is not the same as the radius of the cone.

so the radius of the cone is: (r-h/2),

is my primary equation and constraint switched around because I have to get rid of that h and the only way I can is it to use that and put it in terms of r. But I'm suppose to be looking for the maximum volume of the cone...I don't know how to do this..

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