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What is the height of a cylindrical condensed milk can with a diameter

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What is the height of a cylindrical condensed milk can with a diameter  [#permalink]

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New post 22 Feb 2018, 21:03
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What is the height of a cylindrical condensed milk can with a diameter of 4 inches?

(1) The number of cubic inches in the volume of the can is \(10\pi\) times the radius of the can.

(2) The can holds 2 pounds of milk.

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Re: What is the height of a cylindrical condensed milk can with a diameter  [#permalink]

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New post 23 Feb 2018, 00:14
Bunuel wrote:
What is the height of a cylindrical condensed milk can with a diameter of 4 inches?

(1) The number of cubic inches in the volume of the can is \(10\pi\) times the radius of the can.

(2) The can holds 2 pounds of milk.


v of cylinder = pi r^2 h

a says v=1Opi times r

h can be found out


b gives the volume in ounces.. but there isn't a relation b/w ounces and volume in inches

i think it is (A) imo
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Re: What is the height of a cylindrical condensed milk can with a diameter  [#permalink]

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New post 15 Apr 2018, 12:34
Hi Bunuel,

I have a question for statement 2, is n't 2 pounds sufficient to get volume and hence height?

as 1 pound = 16 ounces, and 1 ounce = 1.8 cubic inches

can you please help?
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What is the height of a cylindrical condensed milk can with a diameter  [#permalink]

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New post 15 Apr 2018, 13:20
The volume of the cylinder is given by \(V=\pi r^2 h=\frac{\pi D^2}{4}h\). We are given the diameter D in the question and need to find V to be able to determine height h. So look for anything that will give us the volume in the two statements.

Statement (1) => Gives us a relationship between the radius and volume. Since we have the diameter (and hence radius) we have enough information to work out the volume. This means we can determine h => Sufficient.

Statement (2) => This gives us the mass of milk in pounds. Without knowing the density (\(density = \frac{mass}{volume}\)) we cannot work out the volume => Insufficient.

Answer: A
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Re: What is the height of a cylindrical condensed milk can with a diameter  [#permalink]

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New post 16 Apr 2018, 04:46
hellosanthosh2k2 wrote:
Hi,

I have a question for statement 2, is n't 2 pounds sufficient to get volume and hence height?

as 1 pound = 16 ounces, and 1 ounce = 1.8 cubic inches

can you please help?


It says the can holds 2 pounds of milk, but it is not explicit that this is the FULL volume, the total volume of the can could be anything and still have 2 pounds of milk in it. Hence statement 2 is insufficient.
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Re: What is the height of a cylindrical condensed milk can with a diameter &nbs [#permalink] 16 Apr 2018, 04:46
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