Adnan 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)
The surface area of the cylinder can be found by adding the areas of the two circular bases and the lateral surface area.
The area of each circular base is given by the formula A = πr^2, where r is the radius:
A1 = π(4^2) = 16π
The lateral surface area is given by the formula A = 2πrh, where r is the radius and h is the height:
A2 = 2π(4)(3) = 24π
Therefore, the surface area of the cylinder is:
Surface area = A1 + A1 + A2 = 16π + 16π + 24π = 56π
Using π ≈ 3.14, the surface area is approximately:
Surface area ≈ 56 × 3.14 ≈ 175.84
Rounded to the nearest tenth, the surface area of the cylinder is 175.8 square feet. Answer: \boxed{175.8}.