Adrian is painting The outside of a cylinder that he plants to use is 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 cylinder including the top and bottom faces. In order to understand how much paint is needed. He wants to know the surface area of the outside of the cylinder. What is the surface area of the cylinder measured in square feet? Use 3.14 pi and round your answer to the nearest 10th

1 answer

The surface area of the outside of a cylinder can be calculated by finding the lateral surface area and adding the areas of the two circular faces.

Lateral surface area = 2(pi)(radius)(height) = 2(3.14)(4)(3) = 75.36 sq ft
Circular area (top and bottom faces) = 2(pi)(radius)^2 = 2(3.14)(4)^2 = 100.48 sq ft

Total surface area = Lateral surface area + Circular area = 75.36 + 100.48 = 175.84 sq ft

Therefore, the surface area of the outside of the cylinder is 175.84 square feet.