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

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

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