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Math·Geometry and Trigonometry·Area and volume

hard

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A sphere is inscribed in a right circular cylinder, as shown. The sphere touches the center of each base of the cylinder. The sphere and the cylinder have the same radius, $r$, where $r$ is 37 centimeters. What is the surface area, in square centimeters, of the cylinder?

A

$5,476\pi$

B

$8,214\pi$

C

$16,428\pi$

D

$101,306\pi$