Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet. Adrian wants to paint all around the outside of the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface are of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth. (1 point)
The lateral surface area of a cylinder is given by the formula A = 2πrh, where r is the radius and h is the height. The surface area of the two bases is given by the formula B = 2πr^2.
In this case, the radius is 4 feet and the height is 3 feet. Plugging in these values, we have:
A = 2 * 3.14 * 4 * 3 = 75.36 square feet
B = 2 * 3.14 * 4^2 = 100.48 square feet
Adding the lateral surface area and the area of the bases gives us the total surface area:
Total surface area = A + B = 75.36 + 100.48 = 175.84 square feet
Therefore, the surface area of the outside of the cylinder is 175.8 square feet.