A cone-shaped paper drinking cup is to be made to hold 30 cm3 of water. Find the height and radius of the cup that will use the smallest amount of paper.
volume of a cone (1/3)(pi)(r^2)(h) = 30
SA of a cone pi(r)[sqrt(r^2 + h^2)]
The Attempt at a Solution
solve volume for h
plug h into SA
solve for h
I'm understanding how to do it, I just can't get the right answers.