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
32.97
32.97
75.36
75.36
25.12
25.12
62.8
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 can be found using the formula: A = πr^2, where π is approximately 3.14 and r is the radius.
A1 = 3.14 * (2^2)
A1 = 3.14 * 4
A1 = 12.56 square yards
The lateral surface area can be calculated using the formula: A = 2πrh, where π is approximately 3.14, r is the radius, and h is the height.
A2 = 2 * 3.14 * 2 * 3
A2 = 37.68 square yards
Now, we can find the total surface area by adding the areas of the two bases and the lateral surface area:
Surface Area = A1 + A1 + A2
Surface Area = 12.56 + 12.56 + 37.68
Surface Area = 62.8 square yards
Therefore, the surface area of the cylinder is 62.8 square yards.