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## Homework Statement

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.

## Homework Equations

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

derive SA

calculate r

solve for h

I'm understanding how to do it, I just can't get the right answers.