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What is the maximum number of cylinders of height 6 and radius 3 that

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What is the maximum number of cylinders of height 6 and radius 3 that  [#permalink]

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New post 09 Sep 2018, 07:56
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

40% (02:06) correct 60% (01:21) wrong based on 43 sessions

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What is the maximum number of cylinders of height 6 and radius 3 that can fit into an empty box with interior dimensions 12 x 18 x 20?

A. 120
B. 25
C. 18
D. 12
E. 6

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What is the maximum number of cylinders of height 6 and radius 3 that  [#permalink]

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New post 09 Sep 2018, 11:14
Height and Diameter of the cylinder are the important dimensions here. Both are = 6
So we can kinda can imagine cubes (with edge = 6) in place of cylinders for easy picturing.

[x] = Floor function
Number of cubes possible = [18/6] * [12/6] * [20/6] = 3*2*3 = 18
Ans: C
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Re: What is the maximum number of cylinders of height 6 and radius 3 that  [#permalink]

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New post 11 Sep 2018, 04:05
First instinct was to divide the volume of the box by the volume of the cylinder but I guess it doesn't work that way cause of dimensions constraints
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Re: What is the maximum number of cylinders of height 6 and radius 3 that &nbs [#permalink] 11 Sep 2018, 04:05
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What is the maximum number of cylinders of height 6 and radius 3 that

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