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Three identical balls are stacked vertically inside a circular cylindr

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Three identical balls are stacked vertically inside a circular cylindr [#permalink]

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New post 08 Dec 2017, 03:49
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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
2017-12-08_1441_002.png [ 2.72 KiB | Viewed 376 times ]
[Reveal] Spoiler: OA

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Re: Three identical balls are stacked vertically inside a circular cylindr [#permalink]

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New post 08 Dec 2017, 06:07
Bunuel wrote:
Image
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
Radius of cylinder = Radius of ball = 2 inches
Volume of cylinder = \(πr^2h=π(2)^2*12=π48\)

(C) is the answer.
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Re: Three identical balls are stacked vertically inside a circular cylindr [#permalink]

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New post 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
Radius of cylinder = Radius of ball = 2 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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Three identical balls are stacked vertically inside a circular cylindr

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