Adrian is painting 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
To calculate the surface area of the cylinder, you need to find the area of the curved surface (lateral area) and the area of the two bases.
1. Lateral area:
The lateral area of a cylinder can be calculated using the formula: Lateral area = 2 * π * radius * height.
Given that the radius is 4 ft and the height is 3 ft:
Lateral area = 2 * 3.14 * 4 * 3 = 75.36 square feet.
2. Base area:
The base area of a cylinder is given by the formula: Base area = π * radius^2.
Given that the radius is 4 ft:
Base area = 3.14 * 4^2 = 50.24 square feet.
3. Total Surface area:
The total surface area of the cylinder is the sum of the lateral area and the base area. Therefore:
Total Surface area = Lateral area + 2 * Base area
Total Surface area = 75.36 + 2 * 50.24 = 175.84 square feet.
Therefore, Adrian will need to paint a total surface area of 175.84 square feet on the cylinder.