How do you find the radius of a cone only knowing slant height?

The surface area of a cone is the area of the base plus the area of the conical part. This is pi(r2 ) +pi(r)(s)=A If you have A and s, you can solve for r. ( s is the slant height and r is the radius)

You must have another parameter

volume of a cone = 1/3 x pi x radius2 x height Rearrange the formula: height = volume of cone divided by 1/3 x pi x radius2

Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.

The volume v = (1/3) pi r2 h You just need to rearrange this to get r on its own. Multiply both sides by 3: 3v = pi r2 h Divide both sides by pi: 3v / pi = r2 h Divide both sides by h: 3v / (pi h) =...