Hello, John,Originally Posted byOntarioStud

as you may know the term describes the distance between the origin and a point in the xy-plane.

If you draw a plane cut through the cone along the z-axis it'll look like the diagram which I attached.

With your cone you get: .

The slope s is .

The surface area of a cone contains the base circle and the area, which is produced by the sloping line:

Notice: I've corrected my mistake. I'm sorry if the previous result caused any irritation.

Simplify to:

This surface has the value 5. So you get: . Solve for r and re-substitute. You'll get the equation:

Greetings

EB