### How do you find the surface area of a cone?

To find the surface area, use this Cone Area Formula:

(Pi x r^{2}) + (Pi x r x S)

Pi = 3.1416

r = radius of the base

S = the slant length from the base to the tip of the cone

(the slant length is calculated from the height and the radius by

using the pythagorean theorem)

Example: If a cone has a height of 12 inches and a base radius of

4 inches, what is the surface area?

Calculate the slant length = 12^{2} + 4^{2} = S^{2}

S = 12.6491

Cone Area = (3.1416 x 16) + (3.1416 x 4 x 12.6491)

Cone Area = 209.2194 square inches

Other Calculators of Interest:

Circle Circumference Calculator,
Sphere Area Calculator,
Sphere Volume Calculator

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