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# Concentrated orange juice comes inside a cylinder tube with a radius

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Math Expert
Joined: 02 Sep 2009
Posts: 64116
Concentrated orange juice comes inside a cylinder tube with a radius  [#permalink]

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21 Jun 2016, 02:04
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Difficulty:

55% (hard)

Question Stats:

65% (01:59) correct 35% (02:42) wrong based on 55 sessions

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Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?

A. 24.
B. 28.
C. 36.
D. 42.
E. 48.

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Re: Concentrated orange juice comes inside a cylinder tube with a radius  [#permalink]

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21 Jun 2016, 03:44
since height of a tube is 15 inches , the tubes can fit only in one way .

now, diameter of each tube = 5 inches
therefore, 4*2 can be put in each wooden box
in 3 boxes 3*4*2 can be accommodated
= 24
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Re: Concentrated orange juice comes inside a cylinder tube with a radius  [#permalink]

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21 Jun 2016, 08:41
Bunuel wrote:
Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?

A. 24.
B. 28.
C. 36.
D. 42.
E. 48.

Diameter of tube= 5 inches
Height of wooden tube= 15 inches

Two tubes can stand in 31 inches height
Two tubes can fit in 11 inches length
Two tubes can fit in 10 inches width

So, one box can hold 8 tubes

Three boxes can hold= 8*3= 24 tubes

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Re: Concentrated orange juice comes inside a cylinder tube with a radius  [#permalink]

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28 Apr 2020, 07:23
Hi Bunuel, please post the solution. Thanks.

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Re: Concentrated orange juice comes inside a cylinder tube with a radius  [#permalink]

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28 Apr 2020, 07:43
Bunuel wrote:
Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?

A. 24.
B. 28.
C. 36.
D. 42.
E. 48.

kd1895

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Re: Concentrated orange juice comes inside a cylinder tube with a radius   [#permalink] 28 Apr 2020, 07:43