A cylinder has a lateral surface area of 45 square inches. The surface area of each base is 15 square inches. What is the total surface area of the cylinder?
Thank you.
total area is just 2*base + lateral = 2*15+45 = 75 in^2
To find the total surface area of a cylinder, you need to add the lateral surface area to the sum of the areas of the two bases.
Let's break down the problem step by step:
1. The lateral surface area of a cylinder is given as 45 square inches. This represents the area of the curved surface that wraps around the cylinder without including the bases.
2. The surface area of each base is given as 15 square inches. Since a cylinder has two bases (top and bottom), the total area of the two bases is 2 * 15 = 30 square inches.
3. To find the total surface area, you need to add the lateral surface area to the sum of the areas of the two bases. So, the total surface area of the cylinder is 45 + 30 = 75 square inches.
Therefore, the total surface area of the cylinder is 75 square inches.