- #1

- 112

- 0

## Homework Statement

A closed cylinder has total surface area equal to [tex] 600\pi [/tex].

Show that the volume, Vcm3, of this cylinder is given by the formula[tex] v = 300\pi-\pi r^3 [/tex],

where r cm is the radius of the cylinder.

Find the maximum volume of such a cylinder.

## Homework Equations

[tex] V= 2\pir^2 + 2\pirh [/tex]

## The Attempt at a Solution

not really sure where to start,

[tex] 600\pi = 2\pir^2 + 2\pirh [/tex]

how would I make this expression equal the other?

Thanks!