find a surface area of a cylinder with a radius of 5 inches and a height of 10 use 3.14 pi

1 answer

To find the surface area of a cylinder, you need to calculate the area of its two bases and the area of its curved surface.

The formula for the area of the bases of a cylinder is: A_base = π * r^2
Since the radius of the cylinder is given as 5 inches, the area of each base will be: A_base = π * 5^2 = 25π square inches

The formula for the area of the curved surface of a cylinder is: A_curved_surface = 2 * π * r * h
Since the radius is 5 inches and the height is 10 inches, the area of the curved surface will be: A_curved_surface = 2 * π * 5 * 10 = 100π square inches

Therefore, the total surface area of the cylinder is: A_total = 2 * A_base + A_curved_surface = 2 * 25π + 100π = 50π + 100π = 150π square inches.

Using the value of pi as 3.14, the surface area of the cylinder is approximately: 150π ≈ 150 * 3.14 = 471 square inches.