Final answer:
To find the total area of a cylinder, you need to calculate the lateral area and the base area separately, and then add them together. The formula for the lateral area of a cylinder is 2πrh, where π is pi, r is the radius, and h is the height. The formula for the base area of a cylinder is πr².
Step-by-step explanation:
To find the total area of a cylinder, you need to calculate the lateral area and the base area separately, and then add them together.
The formula for the lateral area of a cylinder is whereis pi, is the radius, and is the height. Using the given measurements of we can calculate the lateral area as square units.
The formula for the base area of a cylinder is . Using the given radius of , we can calculate the base area as square units.
To find the total area, we add the lateral area and the base area: square units.
Therefore, the correct option is B. 20π square units.