Answer:
S = 2 pi (3) squared + 2 pi (3) (14)
Explanation:
The formula for the area of a circle is ...
A = πr²
The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...
A = 2π(3²) . . . . . . matches a term in the last choice
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The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...
A = 2πrh
For the given radius and height, the lateral area in square centimeters is ...
A = 2π(3)(14) . . . . . . matches a term in the last choice
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The total surface area is the sum of the areas of the bases and the lateral area, so is ...
S = 2π(3²) +2π(3)(14) . . . . . matches the last choice
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Comment on answer choices
We could choose the correct answer based solely on the area of the bases of the cylinder.