What formula can be used to calculate the circumference of a cylinder's base with a radius of 8 inches?

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The formula used to calculate the circumference of a cylinder's base is derived from the geometry of circles. The circumference (C) of a circle is determined by the formula C = 2πr, where r represents the radius of the circle.

In the case of a cylinder's base, which is a circle with a radius of 8 inches, applying the formula gives:

C = 2π(8) = 16π inches.

This correctly represents the total distance around the base of the cylinder. The other choices do not correspond to the circumference of a circle. For instance, the formula involving πd would require knowing the diameter, and the formulas involving h do not pertain to the circumference at all. Therefore, the choice that directly defines the circumference in terms of the radius is the appropriate one.

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