Which equation can be used to find the surface area of the cylinder?

A cylinder with a diameter of 6 centimeters and height of 14 centimeters.
S = 2 pi (14) squared + 2 pi (14) (6)
S = 2 (3) squared + 2 (3) (14)
S = 2 pi (6) squared + 2 pi (6) (14)
S = 2 pi (3) squared + 2 pi (3) (14)

  S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step 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

Comment on answer choices

We could choose the correct answer based solely on the area of the bases of the cylinder.

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step-by-step explanation:

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .