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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 [ 35.36 KiB | Viewed 11813 times ]
19 Sep 2018, 22:20
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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
New surface areas added are the circular bases and tops.
when cut in 3 pieces it adds 4 circular areas each of radius 2.
Therefor the new added surface area will be = 4*π*r^2 = 4*4*π = 16*π
