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)
• 345.4 square inches
• 471
square inches
• 628 square inches
• 785 square inches
To find the surface area of a cylinder, we need to find 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 one circular base is A1 = 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches.
The area of the other circular base is also 78.5 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 A = 2 * 3.14 * 5 * 10 = 314 square inches.
The total surface area is the sum of the areas of the two circular bases and the lateral surface area.
Total surface area = 2 * 78.5 + 314 = 157 + 314 = 471 square inches.
Therefore, the surface area of the cylinder is 471 square inches. The closest approximation from the options provided is 471 square inches.