Surface Area of Cylinders Quick Check
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Question
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
75.36
75.36
32.97
32.97
25.12
To find the surface area of a cylinder, you need to find the areas of the two circular bases and the area of the curved surface.
The area of each circular base can be found using the formula A = πr^2, where r is the radius. In this case, the radius is 2 yards, so the area of each base is 3.14 x 2^2 = 12.56 square yards.
The area of the curved surface can be found using the formula A = 2πrh, where r is the radius and h is the height. In this case, the radius is 2 yards and the height is 3 yards, so the area of the curved surface is 2 x 3.14 x 2 x 3 = 37.68 square yards.
To find the total surface area, you add the areas of the two bases and the curved surface: 12.56 + 12.56 + 37.68 = 62.8 square yards.
So the correct answer is 62.8.