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# Three identical balls are stacked vertically inside a circular cylindr

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Math Expert
Joined: 02 Sep 2009
Posts: 44655
Three identical balls are stacked vertically inside a circular cylindr [#permalink]

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08 Dec 2017, 03:49
00:00

Difficulty:

35% (medium)

Question Stats:

83% (00:40) correct 17% (01:02) wrong based on 28 sessions

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Three identical balls are stacked vertically inside a circular cylindrical can so that the balls are tangent to each other and to the surface of the can, as shown above. What is the volume of the inside of the can, in cubic inches, if the radius of each ball is 2 inches?

(A) 24π
(B) 36π
(C) 48π
(D) 64π
(E) 96π

[Reveal] Spoiler:
Attachment:

2017-12-08_1441_002.png [ 2.72 KiB | Viewed 376 times ]
[Reveal] Spoiler: OA

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Joined: 24 Nov 2016
Posts: 148
Re: Three identical balls are stacked vertically inside a circular cylindr [#permalink]

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08 Dec 2017, 06:07
Bunuel wrote:

Three identical balls are stacked vertically inside a circular cylindrical can so that the balls are tangent to each other and to the surface of the can, as shown above. What is the volume of the inside of the can, in cubic inches, if the radius of each ball is 2 inches?

(A) 24π
(B) 36π
(C) 48π
(D) 64π
(E) 96π

[Reveal] Spoiler:
Attachment:
2017-12-08_1441_002.png

Height of cylinder = Sum of the diameter of all balls = 4*3 = 12 inches
Volume of cylinder = $$πr^2h=π(2)^2*12=π48$$

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Joined: 30 Sep 2017
Posts: 38
Location: India
Concentration: Entrepreneurship, General Management
Schools: IIM Udaipur '17
GMAT 1: 700 Q50 V37
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WE: Engineering (Energy and Utilities)
Re: Three identical balls are stacked vertically inside a circular cylindr [#permalink]

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08 Dec 2017, 07:29
As the balls are touching each other, Height of cylinder = Sum of the diameter of all balls = 4*3 = 12 inches
Volume of cylinder = pi*r*r*h = 48pi
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Re: Three identical balls are stacked vertically inside a circular cylindr   [#permalink] 08 Dec 2017, 07:29
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