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The contents of one full cylindrical silo are to be transferred to ano

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The contents of one full cylindrical silo are to be transferred to ano [#permalink]

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New post 29 Oct 2014, 08:21
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  5% (low)

Question Stats:

87% (00:31) correct 13% (01:10) wrong based on 137 sessions

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Tough and Tricky questions: Geometry.



The contents of one full cylindrical silo are to be transferred to another, larger cylindrical silo. The contents of the smaller silo will fill what portion of the larger silo?

(1) The larger silo has twice the base radius, and twice the height, of the smaller one.
(2) The smaller silo has a circular base with a radius of 10 feet.

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Re: The contents of one full cylindrical silo are to be transferred to ano [#permalink]

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New post 29 Oct 2014, 14:01
1
Answer a)

Considering 2)
The base radius of smaller silo would neither give us the volume of smaller silo or the volume of larger silo nor their proportion . not sufficient to find the answer

Considering 1)

The ratio of both base radius and height, can help us conclude that larger silo has volume that is 8 times that of smaller silo.
Thus we can find how proportion it will fill, and thus 1) is sufficient.
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The contents of one full cylindrical silo are to be transferred to ano [#permalink]

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New post 23 Dec 2014, 10:19
1) pi(r)^2(h)/pi(2r)^2(2h)=1/8...............sufficient
2)pi(10)^2(h)/ pi(R)^2(H).................. insufficient, too many unknown variables.

I doubt whether this question has 600-700 level of difficulty
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Re: The contents of one full cylindrical silo are to be transferred to ano [#permalink]

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New post 18 Feb 2016, 16:01
is it expected that the contents of a Silo will evenly fit in both of the cylinders? could it be possible to have contents that are big (like boxes or something like that) that may not fill in the same proportion in one cylinder vs. the other?
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Re: The contents of one full cylindrical silo are to be transferred to ano [#permalink]

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New post 18 Feb 2016, 16:31
2
The ratio of both base radius and height, can help us conclude that larger silo has volume that is 8 times that of smaller silo.
Thus we can find how proportion it will fill, and thus 1) is sufficient.
The base radius of smaller silo would neither give us the volume of smaller silo or the volume of larger silo nor their proportion . not sufficient to find the answer
so right answer A
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Re: The contents of one full cylindrical silo are to be transferred to ano [#permalink]

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New post 14 Jul 2017, 10:17
The correct answer is A. I said E.


The volume for a cylinder can be calculated by multiplying the area of the base times the height. The base is a circle with an area of r 2, where r is the radius of the circle. Thus the volume of a cylinder is r 2 × h, where h represents the height of the figure.

(1) SUFFICIENT: If we call the radius of the smaller cylinder r, and the height of the smaller cylinder h, the volume of the smaller cylinder would be r 2 h. If the radius of the larger cylinder is twice that of the smaller one, as is the height, the volume of the larger cylinder would be (2 r) 2(2 h) = 8 r 2 h. The volume of the larger cylinder is eight times larger than that of the smaller one. If the contents of the smaller silo, which is full, are poured into the larger one, the larger one will be 1/8 full.

(2) INSUFFICENT: This question is about proportions, and this statement tells us nothing about volume of the smaller silo relative to the larger one.
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Re: The contents of one full cylindrical silo are to be transferred to ano [#permalink]

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New post 05 Sep 2017, 16:18
1
Bunuel wrote:

Tough and Tricky questions: Geometry.



The contents of one full cylindrical silo are to be transferred to another, larger cylindrical silo. The contents of the smaller silo will fill what portion of the larger silo?

(1) The larger silo has twice the base radius, and twice the height, of the smaller one.
(2) The smaller silo has a circular base with a radius of 10 feet.



C trap question

Statement 1

This statement establishes the proportion between the base and height of each cyclinder with pi as a constant, we can plug in any number and will still get the same result


A
Re: The contents of one full cylindrical silo are to be transferred to ano   [#permalink] 05 Sep 2017, 16:18
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