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)
Responses
345.4 square inches
345.4 square inches
471 inches
471 inches
471 square inches
471 square inches
314 square inches
To find the surface area of a cylinder, we need to calculate the area of the two bases and the lateral surface area.
The area of each base is given by the formula A = π * r^2, where A represents the area and r represents the radius. Plugging in the given values, we have:
A_base = 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches
The lateral surface area is given by the formula A = 2πrh, where r represents the radius and h represents the height. Plugging in the given values, we have:
A_lateral = 2 * 3.14 * 5 * 10 = 3.14 * 100 = 314 square inches
We add the two base areas and the lateral surface area to find the total surface area:
Total surface area = A_base + A_base + A_lateral = 78.5 + 78.5 + 314 = 471 square inches
Therefore, the surface area of the cylinder is 471 square inches.