A diagram is shown of a cylinder with a height of 13 and a radius of 5
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.
408.2
1469.52
204.1
565.2
To find the surface area of a cylinder, we need to calculate the sum of the areas of the two bases and the lateral surface area.
The formula for the surface area of a cylinder is SA = 2πr² + 2πrh.
Given that the radius (r) is 5 and the height (h) is 13, we can substitute these values into the formula.
Base area = πr² = 3.14 * 5² = 3.14 * 25 = 78.5
Lateral surface area = 2πrh = 2 * 3.14 * 5 * 13 = 408.2
Total surface area = 2πr² + 2πrh = 2 * 78.5 + 408.2 = 157 + 408.2 = 565.2
Therefore, the surface area of the cylinder is 565.2.
The correct answer is 565.2.