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# Water in a flooded basement is to be pumped into an empty

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Director
Joined: 21 Dec 2009
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Concentration: Entrepreneurship, Finance
Water in a flooded basement is to be pumped into an empty [#permalink]

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12 Nov 2012, 19:08
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Question Stats:

63% (01:53) correct 37% (00:43) wrong based on 351 sessions

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Water in a flooded basement is to be pumped into an empty right circular cylindrical container. If the height of the container is 250 cm, is the volume of the container sufficient for it to hold all the water?

(1) The area of the flooded portion of the basement is 20 square meters.
(2) The circumference of the container is 100 centimeters
[Reveal] Spoiler: OA

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Last edited by Bunuel on 13 Nov 2012, 04:15, edited 1 time in total.
Renamed the topic and edited the question.
Magoosh GMAT Instructor
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Re: Water in a flooded basement is to be pumped into [#permalink]

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12 Nov 2012, 19:49
gmatbull wrote:
Water in a flooded basement is to be pumped into an empty right circular cylindrical container. If the height of the container is 250 cm, is the volume of the container sufficient for it to hold all the water?
(1)The area of the flooded portion of the basement is 20 square meters.
(2)The circumference of the container is 100 centimeters

To know whether the container will hold the water, we would have to have a clear idea of (1) how big is the container, and (2) how much water is on the basement floor. We already know the height of the cylindrical container, but nothing else about it.

Statement #1: this tells us the area of the basement, but here, first of all, we don't know one iota more about the cylinder, and also, we don't know how deep the water is. The volume would be (area)*(depth), and it very much makes a difference in how much water there is altogether if the water is 1/4 inch deep or 7 inches deep. This statement, by itself, is insufficient.

Statement #2: this tells us the circumference of the cylinder, which means we could solve for the radius, which means we could find the area, which means we could calculate the volume of cylinder. Notice, I am not going to be gullible enough actually to perform those calculations. This is DS, and all I have to know is --- could I do the calculation. For this one, I definitely could calculate the volume of the cylinder, which is one piece we need, but here we know nothing about the quantity of water. This statement, by itself, is insufficient.

Combined statements: Statement #2 gives us the volume of the cylinder, which is half of what we need. Statement #1 give us the area of the flooded section of the basement, but without the depth of the water, we still don't know the volume of the water, so we still can't compare the two volumes. So close, but alas! Even combined, the statements are insufficient.

Does all this make sense?

Mike
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Re: Water in a flooded basement is to be pumped into [#permalink]

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13 Nov 2012, 01:54
Sure, no doubt about that as Vol = Base area x Depth(not given).

Thanks.
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Re: Water in a flooded basement is to be pumped into [#permalink]

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13 Nov 2012, 01:59
We can know the volume of the container, but we cant infer anything about the volume of the basement.
Simply E
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Re: Water in a flooded basement is to be pumped into an empty [#permalink]

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04 Mar 2013, 03:20
gmatbull wrote:
Water in a flooded basement is to be pumped into an empty right circular cylindrical container. If the height of the container is 250 cm, is the volume of the container sufficient for it to hold all the water?

(1) The area of the flooded portion of the basement is 20 square meters.
(2) The circumference of the container is 100 centimeters

CONCEPT:

Volume of basement should be equal to cylindrical container to hold all the water.

St1: Area of basement is given but no idea about the volume. Not sufficient.

St2: With this we can find volume of the cylindrical container but no idea about the volume of basement. Not sufficient.

St1 + St2

Not suffcient. As we don't know about the volume of basement.

E

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Manager
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Re: Water in a flooded basement is to be pumped into an empty [#permalink]

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24 Apr 2013, 14:33
new to this forum. how do u kudos someone? This information was very helpful and good. Thank you very much ma man
Senior Manager
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Re: Water in a flooded basement is to be pumped into an empty [#permalink]

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24 Apr 2013, 17:31
For comparing two volumes you need both of them. We can calculate cylinder's volume from 2 but we don't have any clue about the room. Is it square or rectangle?

Hence E.
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Re: Water in a flooded basement is to be pumped into an empty [#permalink]

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29 Apr 2013, 22:39
new to this forum. how do u kudos someone? This information was very helpful and good. Thank you very much ma man

Under the poster's information on the left side of the question/comment is the kudos button. It's orange and says +1 kudos and has a thumbs up icon.
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Re: Water in a flooded basement is to be pumped into an empty [#permalink]

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30 Jun 2013, 23:49
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Expert's post
gmatbull wrote:
Water in a flooded basement is to be pumped into an empty right circular cylindrical container. If the height of the container is 250 cm, is the volume of the container sufficient for it to hold all the water?

(1) The area of the flooded portion of the basement is 20 square meters.
(2) The circumference of the container is 100 centimeters

Responding to a pm:

Flooded basement is a flooded underground room. If we want to figure out whether all the water in the room can be transferred to a container, we need to know how much water is in the room and how much can the container hold. The area of the room gives us floor area (length * width). We still don't know the amount of water because we don't know the height of the water level. Think of water contained in a cuboid. To find the volume of the water, you need to know the length and width of the cuboid and the height of the water in the cuboid. Volume = length * width * height.

As for the cylindrical container, to know how much water it can hold, we need to know the volume of this cylinder.
Volume of a right circular cylinder = Area of base * height. The question stem gives you the height and statement 2 gives you the radius to find the area of the circular base.

Neither the question nor the statements give you the height of the water in the basement. So both statements together are not sufficient.

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Re: Water in a flooded basement is to be pumped into an empty [#permalink]

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Re: Water in a flooded basement is to be pumped into an empty [#permalink]

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01 Aug 2016, 22:35
gmatbull wrote:
Water in a flooded basement is to be pumped into an empty right circular cylindrical container. If the height of the container is 250 cm, is the volume of the container sufficient for it to hold all the water?

(1) The area of the flooded portion of the basement is 20 square meters.
(2) The circumference of the container is 100 centimeters

(1) The area of the flooded portion of the basement is 20 square meters.
For finding the volume of the water we need to know the level (height) of water that is in the basement
INSUFFICIENT

(2) The circumference of the container is 100 centimetres
This gives us the volume of the cylinder
INSUFFICIENT

Merging both
WE know how much water the cylinder can hold, but we don't know how much water is needed to be pumped out
SO INSUFFICIENT

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Re: Water in a flooded basement is to be pumped into an empty   [#permalink] 01 Aug 2016, 22:35
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