How To Find The Surface Area Of A Cylinder
Let's look at the geometric characteristics
of a cylinder. But first, please review the definition of Surface Area Of Three-Dimensional Shapes.
- A cylinder is a two dimensional circle with height; with
height it becomes a three dimensional shape.
- The trick is to
identify the area of the cylinder base which is a circle: Area Of A Circle. This result will be part of the surface area of a
cylinder formula; the formula for the base or area of a circle: πr2. Also keep
in mind there are two base areas - top and bottom.
- To learn the surface area of the cylinder, we must
multiply the height of the cylinder by the circumference of the
cylinder. Let us call the height of the cylinder H. We know from
basic math that the circumference of a circle can be computed using the following
formula: 2 times Pi times the radius of the circumference or more simply 2πr.
- Special note, the Base, and
Height of the cylinder must be greater than zero.
Surface Area Of A Cylinder Formula
Formula = (Base + Base) + (Circumference * Height) =
Formula = (πr2 + πr2) + ((2 × π × r) × H) =
Formula = (2 × π × r2) + (2 × π × r × H) =
Formula = 2πr2 + 2πrH =
Image Of A Three Dimensional Cylinder