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

Question

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

mikemcgarry · Accepted Answer

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 . Answer = E Does all this make sense? Mike :-)

gmatbull · Answer

Sure, no doubt about that as Vol = Base area x Depth( not given ).

Thanks.

Marcab · Answer

We can know the volume of the container, but we cant infer anything about the volume of the basement.
Simply E

greatps24 · Answer

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

madzstar · Answer

new to this forum. how do u kudos someone? This information was very helpful and good. Thank you very much ma man

Bluelagoon · Answer

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.

MzJavert · Answer

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.

KarishmaB · Answer

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.

Answer (E)

LogicGuru1 · Answer

(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

ANSWER E

kapstone1996 · Answer

Need to know the volume of the tank & how much water is needing to be pumped out.

V (of the tank) = 2r * Pie * height (given the height)

1) we are given partial data of how much water is needed to be pumped out, we do not know the height of it. 
 Given the base, but how high is the water, 1ft, 2 inches. Also, still do not know how big the tank is. 
2) We are able to find out the volume of the tank, but still missing how much water is needed to be pumped out.

More logic than anything.

bumpbot · Answer

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

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