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# Cylinder A and cylinder B are both right circular cylinders that are

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Manager
Joined: 25 Sep 2018
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Cylinder A and cylinder B are both right circular cylinders that are  [#permalink]

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19 Oct 2018, 04:06
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Difficulty:

45% (medium)

Question Stats:

57% (00:55) correct 43% (00:50) wrong based on 30 sessions

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GC3.png [ 30.86 KiB | Viewed 271 times ]
Cylinder A and cylinder B are both right circular cylinders that are filled with unknown amounts of water. If cylinder B is completely filled with water and poured into cylinder A, what fraction of cylinder A will be filled with water? (Note: Diagram is not drawn to scale)
1) Cylinders A and B have equal bases.
2) The height of cylinder B is half the height of cylinder A.

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Cylinder A and cylinder B are both right circular cylinders that are  [#permalink]

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Updated on: 19 Oct 2018, 04:35
Abhi077 wrote:
Attachment:
GC3.png
Cylinder A and cylinder B are both right circular cylinders that are filled with unknown amounts of water. If cylinder B is completely filled with water and poured into cylinder A, what fraction of cylinder A will be filled with water? (Note: Diagram is not drawn to scale)
1) Cylinders A and B have equal bases.
2) The height of cylinder B is half the height of cylinder A.

Volume of Water in a cylinder $$= π*r^2*h$$

Question: what fraction of cylinder A will be filled with water = Volume of Cylinder B / Volume of Cylinder A $$= π*r_B^2*h_B / π*r_A^2*h_A$$?

To find what fraction is Cylinder B of Cylinder A we need
1) Ratio of the radie of cylinder A and B
2) Ratio of the Heights of cylinder A and B

In addition we need the amount of water that the two cylinders carry in beginning. (the highlighted part)

Statement 1: Cylinders A and B have equal bases

i.e. $$r_a = r_b$$ but since we don't know the ratio of heights therefore
NOT SUFFICIENT

Statement 2: The height of cylinder B is half the height of cylinder A.

i.e. $$h_B / h_A = 1 / 2$$ but since we don't know the ratio of Radie therefore
NOT SUFFICIENT

Combining the two statements
$$h_B / h_A = 1 / 2$$ and $$r_a = r_b$$ But

The unknown amount of water that the two cylinders have are still unknown hence

NOT SUFFICIENT

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Originally posted by GMATinsight on 19 Oct 2018, 04:20.
Last edited by GMATinsight on 19 Oct 2018, 04:35, edited 1 time in total.
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Re: Cylinder A and cylinder B are both right circular cylinders that are  [#permalink]

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19 Oct 2018, 04:28
Haha GMATinsight you fell right into the trap. Nowhere in the question have they mentioned initial levels of cylinder A, it says' the amout is unknown' So the answer is E.
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Re: Cylinder A and cylinder B are both right circular cylinders that are   [#permalink] 19 Oct 2018, 04:28
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# Cylinder A and cylinder B are both right circular cylinders that are

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