How To Find The Surface Area Of A Cone
Let's look at the geometric characteristics of
a cone. But first, please review the definition of Surface Area Of Three-Dimensional Shapes.
- A cone is a two dimensional circle with height; with height
it becomes a three dimensional shape.
- The trick to determining the surface area of a cone is understanding the
base of the cone is a circle. The area of a circle is half the formula: Area Of A Circle. The area of a circle
formula is "pi" times radius × radius which equals πr2.
- The second part of the formula is to compute the surface
area of the Cone above the base. Let us call L the slant-Length. Slant-Length = L = distance between the cone tip and the base.
The formula for the surface area of a Cone is πrL.
- Special note, the Base,
Radius of the base and Length of a Cone must
be greater than zero.
Surface Area Of A Cone Formula
Formula = (Base) + (π × radius × Length) =
Formula = (πr2) + (π × radius × Length) =
Formula = π × radius2 + π × radius ×
Formula = πr2 + πrL =
Image Of A Three Dimensional Cone