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 consists of three parts: the curved surface area (lateral area), the top face area, and the bottom face area.
The curved surface area (lateral area) of a cylinder is given by the formula: 2πrh, where r is the radius and h is the height.
In this case, r = 4 feet and h = 3 feet.
Curved surface area = 2 * 3.14 * 4 * 3 = 75.36 square feet. (rounded to the nearest tenth)
The top and bottom faces of the cylinder are both circles with radius r.
Area of one circle = πr^2
Top and bottom face area = 2 * 3.14 * 4^2 = 100.48 square feet. (rounded to the nearest tenth)
The total surface area of the outside of the cylinder is:
Curved surface area + Top face area + Bottom face area = 75.36 + 100.48 + 100.48 = 276.32 square feet. (rounded to the nearest tenth)
Therefore, the surface area of the cylinder, measured in square feet, is 276.32 square feet.