Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.(1 point)

Question

Responses

471 square inches
471 square inches

345.4 square inches
345.4 square inches

471 inches
471 inches

314 square inches

Answer 1

To find the surface area of a cylinder, we need to calculate the sum of the areas of the two circular bases and the lateral surface.

The formula for the surface area of a cylinder is:
Surface area = 2πr² + 2πrh

Given:
Radius (r) = 5 inches
Height (h) = 10 inches
Approximation for pi (π) = 3.14

Substituting the values into the formula:
Surface area = 2 * 3.14 * (5^2) + 2 * 3.14 * 5 * 10
Surface area = 2 * 3.14 * 25 + 2 * 3.14 * 5 * 10
Surface area = 6.28 * 25 + 6.28 * 5 * 10
Surface area = 157 + 314
Surface area = 471 square inches

So, the surface area of the cylinder is 471 square inches.