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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: 59561
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:

80% (01:28) correct 20% (01:31) wrong based on 49 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 1562 times ]
Intern
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.
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Concentration: Operations, Technology
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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:

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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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  [#permalink]

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25 May 2019, 19:51
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

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
Re: If a solid right circular cylinder with height 9 and radius 2 is cut   [#permalink] 25 May 2019, 19:51
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