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sergey [27]
3 years ago
9

HELP ASAP THIS IS STRESSING ME OUT!

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0
The surface area of a right cylinder is the sum of the areas of the lateral face and the circular bases. The lateral face is really just a rectangle with the same height as the cylinder and a length equal to the circumference of the circular base.

If the radius of the base is r and the height is h, then the surface area of the cylinder is

A=2\pi r^2+2\pi rh

You're given that the area is 96\pi and the radius is 4, so you have

96\pi=2\pi\times4^2+2\pi\times4h\implies 12=4+h\implies h=8
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