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 surface area of the outside of the cylinder can be calculated by finding the area of the two circular bases and the lateral surface area.
The area of one circular base is π * (radius^2) = 3.14 * (4^2) = 3.14 * 16 = 50.24 square feet.
Since there are two circular bases, the total area of the two bases is 2 * 50.24 = 100.48 square feet.
The lateral surface area can be calculated by finding the circumference of one circular base and multiplying it by the height of the cylinder. The circumference of one circular base is 2 * π * radius = 2 * 3.14 * 4 = 25.12 feet.
The lateral surface area is 25.12 * 3 = 75.36 square feet.
The total surface area of the outside of the cylinder is the sum of the area of the two bases and the lateral surface area, which is 100.48 + 75.36 = 175.84 square feet.
Rounding to the nearest tenth, the surface area of the outside of the cylinder is approximately 175.8 square feet.