Find the surface area of the cylinder in terms of pi.
A cylinder is shown. Its radius is labeled 6 inches and its height is labeled 12 inches.
(1 point)
Responses
216pi in.2
216 Image with alt text: pi in. 2
144pi in.2
144 Image with alt text: pi in. 2
432pi in.2
432 Image with alt text: pi in. 2
168pi in.2
The surface area of a cylinder can be calculated using the formula A = 2πr² + 2πrh, where r is the radius and h is the height.
Plugging in the given values, we get A = 2π(6)² + 2π(6)(12) = 2π(36) + 2π(72) = 72π + 144π = 216π in².
Therefore, the surface area of the cylinder is 216π in².