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

314 square inches
314 square inches

471 square inches
471 square inches

471 inches
471 inches

345.4 square inches

Answer 1

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

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

The area of the two circular bases is 2(π(5)^2) = 2(3.14(25)) = 2(78.5) = 157 square inches.

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

The lateral surface area is 2(3.14)(5)(10) = 314 square inches.

Therefore, the total surface area of the cylinder is 157 + 314 = 471 square inches.

The correct answer is 471 square inches.