If a solid right circular cylinder with height 9 and radius 2 is cut : Problem Solving (PS)

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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: 55613

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:

15% (low)

Question Stats:

81% (01:31) correct

19% (01:34) wrong

based on 43 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) \(36\pi\)

Spoiler: ::

Attachment:

Capture (1).JPG [ 35.36 KiB | Viewed 902 times ]

Spoiler: OA

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Joined: 28 Jun 2018

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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.

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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:

Spoiler: ::

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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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

So answer is C
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Re: If a solid right circular cylinder with height 9 and radius 2 is cut [#permalink]

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25 May 2019, 19:51

Bunuel wrote:

Spoiler: ::

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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