What is the volume if the largest cylinder that can fit inside a certa : Data Sufficiency (DS)

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What is the volume if the largest cylinder that can fit inside a certa

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Joined: 02 Sep 2009

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What is the volume if the largest cylinder that can fit inside a certa [#permalink]

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09 Sep 2018, 07:02

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25% (medium)

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69% (00:53) correct

31% (00:58) wrong

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What is the volume if the largest cylinder that can fit inside a certain cubic box?

(1) The base of the cylinder is positioned on the base of the box.
(2) The side of the box has length 4.

Spoiler: OA

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Re: What is the volume if the largest cylinder that can fit inside a certa [#permalink]

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26 Sep 2018, 22:16

Bunuel wrote:

What is the volume if the largest cylinder that can fit inside a certain cubic box?

(1) The base of the cylinder is positioned on the base of the box.
(2) The side of the box has length 4.

Damn got this one also wrong in the first go.

A tell nothing about the dimension of cylinder / cube
so not sufficient

B tells the side of cube which is sufficient

Why? because you can calc. radius and height of cylinder to get max vol.

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Re: What is the volume if the largest cylinder that can fit inside a certa [#permalink]

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30 Sep 2018, 01:29

Bunuel wrote:

What is the volume if the largest cylinder that can fit inside a certain cubic box?

(1) The base of the cylinder is positioned on the base of the box.
(2) The side of the box has length 4.

1) tells us how the cylinder will be positioned -- IS
2) side = 4
to cut out max cylinder from a cube, the cylinder's height is equal to side of cube and radius is half of the side of cube
since, we have side hence we can know max. vol of the cylinder.

B.
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Re: What is the volume if the largest cylinder that can fit inside a certa [#permalink]

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30 Sep 2018, 02:25

Bunuel wrote:

What is the volume if the largest cylinder that can fit inside a certain cubic box?

(1) The base of the cylinder is positioned on the base of the box.
(2) The side of the box has length 4.

Saying largest cylinder rules out the need of statement 1. Also statement 1 does not provide any info. of the dimensions of box.
Statement 2 is sufficient to calculate the volume of cylinder
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