1. The problem statement, all variables and given/known data The volume of a right circular cone is V = [(pie)(r^2)(h)]/3 and it ssurface area is S = (pie)(r)(r^2+h^2)^(1/2), where r is the base radius and h is the height of the cone. Find the dimensions of the cone with surface area 1 and maximum volume. 3. The attempt at a solution I think the only difficult part of this question is the math, because its quite difficult. I'm finding V' to be [tex]\pi r[r+(4/\pi^2r^2)-4r^2]/6[(1/\pi^2r^2)-r^2][/tex] Which i can't find any zero's for, can someone double check this? Steps to finding the derivative:, 1) Set S equal to 1 and solve for h, 2) stuff h into volume and take derivate, unless you know of a better way?