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)
ft2
The surface area of the cylinder can be calculated by adding the areas of the top and bottom faces (2 circles) and the lateral surface area (the curved surface).
The area of each circle is calculated using the formula A = πr^2, where r is the radius.
The area of the top and bottom faces is 2 * π * (4 ft)^2 = 2 * 3.14 * 16 ft^2 = 100.48 ft^2.
The lateral surface area is calculated using the formula A = 2πrh, where r is the radius and h is the height.
The lateral surface area is 2 * 3.14 * 4 ft * 3 ft = 75.36 ft^2.
Therefore, the total surface area of the outside of the cylinder is 100.48 ft^2 + 75.36 ft^2 = 175.84 ft^2.
Rounding to the nearest tenth, the surface area of the cylinder is 175.8 ft^2.