Hello, aaasssaaa!

A conical drinking cup is made from a circular piece of paper of radius

by cutting out a sector and joining the edges and

Find the maximum capacity of such a cup.Code:..*.*.*.. .*:::::::::::*. A*:::::::::::::::*B * *:::::::::::* * R *:::::::* R * *:::* * * * * * C * * * * * * * * * *

The side view of the cup looks like this:Code:r *-----+-----* \ : / \ h: / \ : / R \ : / \:/ *

where is the radius of the cone and is its height.

We see that: .[1]

The volume of a cone is: .[2]

Substitute [1] into [2]: .

Maximize

. . and we get: .

Substitute into [1]: .

Substitute into [2]: .

Therefore, the maximum volume is: .