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
The surface area of the cylinder can be found by adding the area of the two circular bases and the lateral surface area.
The area of each circular base can be found using the formula for the area of a circle: A = πr^2.
Given that the radius of the cylinder is 4 feet, the area of each circular base is A = 3.14 * 4^2 = 3.14 * 16 = 50.24 square feet.
The lateral surface area can be found using the formula for the lateral surface area of a cylinder: A = 2πrh.
Given that the radius is 4 feet and the height is 3 feet, the lateral surface area is A = 2 * 3.14 * 4 * 3 = 75.36 square feet.
Therefore, the total surface area of the outside of the cylinder is 50.24 + 50.24 + 75.36 = 175.84 square feet.
Rounded to the nearest tenth, the surface area of the outside of the cylinder is 175.8 square feet. Answer: \boxed{175.8}.