To find the surface area of a cylinder, we need to consider the area of the two circular bases and the lateral surface area.
The area of each circular base can be found using the formula for the area of a circle: A = πr^2
In this case, the radius (r) is 2 yards:
A_b = 3.14 * (2)^2
= 3.14 * 4
= 12.56 square yards
The lateral surface area can be found using the formula: A_l = 2πrh
In this case, the height (h) is 3 yards:
A_l = 2 * 3.14 * 2 * 3
= 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:
Total surface area = 2 * A_b + A_l
= 2 * 12.56 + 37.68
= 25.12 + 37.68
= 62.80 square yards
Therefore, the surface area of the cylinder is approximately 62.80 square yards.
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)
1 answer