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

345.4 square inches
345.4 square inches

314 square inches
314 square inches

471 square inches
471 square inches

471 inches

Answer 1

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

The area of a circular base is given by the formula A = πr^2, where r is the radius.

For our cylinder, the radius is 5 inches, so the area of each circular base is A = 3.14 * (5^2) = 3.14 * 25 = 78.5 square inches.

The lateral surface area of a cylinder is given by the formula A = 2πrh, where r is the radius and h is the height.

For our cylinder, the radius is 5 inches and the height is 10 inches, so the lateral surface area is A = 2 * 3.14 * 5 * 10 = 314 square inches.

Summing up the areas of the circular bases and the lateral surface area, we get the total surface area of the cylinder:

Total surface area = 2 * 78.5 + 314 = 157 + 314 = 471 square inches.

So, the correct answer is: 471 square inches.