A cylinder is placed into a right cone which has a radius of 1m and a height of 2m. Find the maximum volume of the cylinder. I think i am able to do it, but im not 100% sure if im correct. I first used similar triangles to write the radius of the cone at any height from its apex. i came up with h=2r. Now, if i let the radius of the cylinder be R, then the height that it rests at is 2R. Since the cone is 2m high, the height of the cylinder will be 2-2R. The volume is given by [tex]V = \pi R^2 (2 - 2R)[/tex], which i used calculus to maximize and came up with R=2/3, therefore V=~0.93. Does that look right? Thanks in advance, Dan.