Surface Area of a Cylinder
Since a cylinder is closely related to a prism , the formulas for their surface areas are related.
Remember the formulas for the lateral surface area of a prism is and the total surface area is . Since the base of a cylinder is a circle, we substitute for and for where is the radius of the base of the cylinder.
So, the formula for the lateral surface area of a cylinder is .
Example 1:
Find the lateral surface area of a cylinder with a base radius of inches and a height of inches.
The general formula for the total surface area of a cylinder is .
Example 2:
Find the total surface area of a cylinder with a base radius of inches and a height of inches.