Use the image to answer the question.
A cylinder is labeled with a height of 3 yards and a radius of 2 yards.
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.
(1 point)
Responses
62.8
62.8
32.97
32.97
25.12
25.12
75.36
To find the surface area of a cylinder, you need to calculate the area of the two circular bases and the area of the curved surface.
The formula for the surface area of a cylinder is:
Surface area = 2πr² + 2πrh
Given that the radius (r) is 2 yards and the height (h) is 3 yards, we can substitute these values into the formula:
Surface area = 2π(2)² + 2π(2)(3)
Surface area = 2π(4) + 2π(6)
Surface area = 8π + 12π
Surface area = 20π
Now, approximate the value of π using the approximation of 3.14:
Surface area ≈ 20(3.14)
Surface area ≈ 62.8
Therefore, the surface area of the cylinder is approximately 62.8 square yards.