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Please remember that the surface area of cylinder created by height will not change
But 4 new circle surfaces were created hence 4 x π(2)^2 = 16π

So answer is C
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Bunuel

If a solid right circular cylinder with height 9 and radius 2 is cut as shown into three new cylinders, each of equal and uniform height, how much new surface area is created?


(A) \(4\pi\)

(B) \(12\pi\)

(C) \(16\pi\)

(D) \(24\pi\)

(E) \(36\pi\)




Attachment:
Capture (1).JPG
The new surface area created are-
1. Top+bottom of middle cylinder in the pic
2. Top of lowermost cylinder in the pic
3. Bottom of uppermost cylinder in the pic

Area= 4 * PI (2)^2 = PI16, Option C
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Ask yourself, what's new? The introduction of 4 circular faces.

π(2)^2 = 4π

4π x 4 = 16π

C.
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