Hello, Super Mallow!

Here's some help with #1. . .

1) A right triangle whose hypotenuse is m long is revolved about one

of its legs to generate a right circular cone. Find the radius, height, and

volume of the cone of the greatest volume that can be made this way Code:

. . . - - - - - - *
. . . - - - - - * |
. . . - - √3 * |
. . . - - - * |√3sinθ
. . . - - * |
. . . - * θ |
* - - - - - *
√3cosθ

This triangle will be revolved about its vertical side.

The volume of a cone is: .

Let be the left acute angle.

Then: .

We have: .

Can you finish it now?