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
32.97
32.97
62.8
62.8
25.12
25.12
75.36
To find the surface area of a cylinder, you need to find the area of the two circles that make up the top and bottom of the cylinder, and the area of the rectangular shape that wraps around the sides of the cylinder.
Formula for the surface area of a cylinder, S.A. = 2πrh + 2πr^2
Given:
Height (h) = 3 yards
Radius (r) = 2 yards
π = 3.14 (approximation)
Substituting the given values into the formula:
S.A. = 2(3.14)(2)(3) + 2(3.14)(2^2)
Simplifying:
S.A. = 37.68 + 25.12
S.A. = 62.8
Therefore, the surface area of the cylinder is 62.8 square yards.