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

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Math Expert
Joined: 02 Sep 2009
Posts: 52385
What is the height of a cylindrical condensed milk can with a diameter  [#permalink]

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22 Feb 2018, 20:03
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Difficulty:

45% (medium)

Question Stats:

64% (01:22) correct 36% (01:09) wrong based on 72 sessions

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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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22 Feb 2018, 23:14
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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15 Apr 2018, 11:34
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

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

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15 Apr 2018, 12:20
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.

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

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16 Apr 2018, 03:46
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

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.
Re: What is the height of a cylindrical condensed milk can with a diameter &nbs [#permalink] 16 Apr 2018, 03:46
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