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## Homework Statement

A cone-shape drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacityof such a cup. This is page#312 In James stewarts Calc book, 3rd edition by the way.

## Homework Equations

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

## The Attempt at a Solution

So realize this will form a cone with an inner triangle of hypotnue R. The base will have a radius r and a hieght h. So I will have to make a relationship between r and h to get R to plug into [tex]V=\frac{1}{3}\pi h r^2[/tex] and differeniate?

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