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# If a solid right circular cylinder with height 9 and radius 2 is cut

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Math Expert
Joined: 02 Sep 2009
Posts: 49986
If a solid right circular cylinder with height 9 and radius 2 is cut  [#permalink]

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19 Sep 2018, 22:00
00:00

Difficulty:

35% (medium)

Question Stats:

83% (00:57) correct 17% (01:30) wrong based on 30 sessions

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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 339 times ]

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Joined: 28 Jun 2018
Posts: 9
Re: If a solid right circular cylinder with height 9 and radius 2 is cut  [#permalink]

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19 Sep 2018, 22:03
4 new circle surfaces were created.

hence 4 x π(2)^2 = 16π

My guess is c.
Intern
Joined: 23 Jan 2018
Posts: 43
Concentration: Operations, Technology
Re: If a solid right circular cylinder with height 9 and radius 2 is cut  [#permalink]

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19 Sep 2018, 22:20
Bunuel wrote:

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
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Joined: 06 Feb 2017
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Location: India
Schools: HBS '22, HEC '22
GMAT 1: 570 Q39 V28
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Re: If a solid right circular cylinder with height 9 and radius 2 is cut  [#permalink]

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21 Sep 2018, 02:08
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

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Re: If a solid right circular cylinder with height 9 and radius 2 is cut &nbs [#permalink] 21 Sep 2018, 02:08
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