Adrian is painting the outside of a cylinder that he plans to use as a coffee table the cylinder has a radius of 4 ft and a height of 3 ft Adrian wants to paint all around the outside of the ceiling including the top and bottom faces in order to understand how much paint is needed he wants to know the service 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 calculated by adding the areas of the curved surface (lateral surface) and the areas of the two circular bases.
The lateral surface area of a cylinder is given by the formula: L = 2πrh, where r is the radius and h is the height.
L = 2 * 3.14 * 4 * 3
L = 75.36 ft²
The area of each circular base is given by the formula: B = πr²
B = 3.14 * 4²
B = 50.24 ft²
Therefore, the total surface area of the cylinder is:
Total surface area = L + 2B
Total surface area = 75.36 + (2 * 50.24)
Total surface area = 75.36 + 100.48
Total surface area = 175.84 ft²
Rounded to the nearest tenth, the surface area of the cylinder is approximately 175.8 square feet.