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Math·Geometry and Trigonometry·Area and volume

hard

Cylinder A and cylinder B are each right circular cylinders with a radius of 4 inches. The height of cylinder A is half the height of cylinder B, and the total surface area of cylinder A is $128\pi$ square inches. If the cylinders are glued together along a circular base, what is the height, in inches, of the resulting cylinder?

A

8

B

12

C

24

D

36