Math K-Plus

Surface Area Of A Cone, Cone Surface Area Calculator


TestQuizQuiz Results Help. Print    

How To Find The Surface Area Of 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
Surface Area = (Base) + (π × radius × Length) =
Surface Area = (πr2) + (π × radius × Length) =
Surface Area = π × radius2 + π × radius × Length =
Surface Area = πr2 + πrL =
Surface Area = π × r × (r + L)


Image Of A Three Dimensional Cone

Cone Object



Find The Surface Area Of A Cone Calculator
Field Name User Input
Radius Of Cone Base (r)
You can enter up to 6 digits
Slant-Length of Cone (L)
You can enter up to 6 digits
Your Answer
You can enter up to 10 digits
Correct Answer

Generate a new Cone area of a Cone problem for the student to solve.