How to Find Surface Area and Volume of a Cylinder
Now you will learn how to calculate the surface area and volume of a cylinder. First we repeat what a cylinder is. A cylinder is a tube where the top and bottom is a circle or an ellipse. In this entry, you will only work with cylinders with circular faces. The top and the bottom are always identical.
From the figure above you can see that the surface area of a cylinder consists of the area of two circles or ellipses and one rectangle.
Formula
The first term in the formula is the area of the circles, and the second term is the area of the rectangle. The length of the rectangle is the circumference of the circle.
Example 1
Calculate the surface area of a cylinder with height of and a radius of
Example 2
Calculate the surface area of a cylinder with height that equals and a diameter of
You must first find the radius of the base (bottom face), :
When calculating the volume of a cylinder, multiply the area of the base by the height of the cylinder.
Formula
where is the radius of the base, and is the height of the cylinder.
Example 3
Calculate the volume of the cylinder with base equal to a circle with radius and a height of
Example 4
Calculate the volume of the cylinder with base equal to a circle with radius and a height of