Surface Area of Cylinders Quick Check
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Question
Use the image to answer the question.
An illustration shows a horizontal rectangle of height 18 yards with a circle of diameter 15 yards attached to its top left and a circle of diameter 15 yards attached to its bottom right.
Calculate the surface area. Use 3.14 for π .
(1 point)
Responses
1,201.05 yards2
1,201.05 yards squared
623.25 yards2
623.25 yards squared
3,108.6 yards2
3,108.6 yards squared
600.53 yards2
To calculate the surface area of the cylinder, we need to find the lateral surface area of the cylinder (rectangle) and the surface area of the two circular bases.
The lateral surface area of the cylinder (rectangle) is given by the formula: perimeter of base x height
Perimeter of base = circumference of circle = π * diameter = 3.14 * 15
Perimeter of base = 47.1 yards
Lateral surface area = 47.1 * 18 = 847.8 yards^2
The surface area of the two circular bases is given by the formula: 2 * π * radius^2
Radius = 15 / 2 = 7.5 yards
Surface area of two circular bases = 2 * 3.14 * 7.5^2 = 353.55 yards^2
Total surface area = Lateral surface area + Surface area of two circular bases
Total surface area = 847.8 + 353.55 = 1201.35 yards^2
Therefore, the correct answer is:
1,201.05 yards squared