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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

62.8
62.8

75.36
75.36

25.12
25.12
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Answer 1

To find the surface area of the cylinder, we need to calculate the area of the two circular bases and the area of the curved surface.

The formula for the area of a circle is A = πr^2, where r is the radius. So, the area of each circular base is:

A = 3.14 * (2^2)
= 3.14 * 4
= 12.56 square yards

The formula for the area of the curved surface of a cylinder is A = 2πrh, where r is the radius and h is the height. So, the area of the curved surface is:

A = 2 * 3.14 * 2 * 3
= 37.68 square yards

Now, we can calculate the total surface area by adding the areas of the two circular bases and the curved surface:

Total Surface Area = 2 * (12.56) + 37.68
= 25.12 + 37.68
= 62.8 square yards

Therefore, the surface area of the cylinder is approximately 62.8 square yards.

The correct answer is:

62.8