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# The figure above shows the shape and dimensions of the

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Joined: 31 Oct 2011
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The figure above shows the shape and dimensions of the [#permalink]

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21 Mar 2012, 14:57
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Difficulty:

45% (medium)

Question Stats:

59% (02:41) correct 41% (01:27) wrong based on 127 sessions

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The figure above shows the shape and dimensions of the inside of a container that has a flat retangular top and semicircular ends perpendicular to the top. When the container is loaded to its exact capacity with slag that weighs 50 pounds per cubic foot, what will be the approximate weight, in tons, of the slag in the container?
(1 ton = 2000 pounds)

A. 2
B. 4
C. 6
D. 8
E. 10
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 106242 [0], given: 11618

Re: The figure above shows the shape and dimensions of the [#permalink]

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21 Mar 2012, 15:25
eybrj2 wrote:
The figure above shows the shape and dimensions of the inside of a container that has a flat retangular top and semicircular ends perpendicular to the top. When the container is loaded to its exact capacity with slag that weighs 50 pounds per cubic foot, what will be the approximate weight, in tons, of the slag in the container?
(1 ton = 2000 pounds)

A. 2
B. 4
C. 6
D. 8
E. 10

The container shown is a half of a cylinder, with the height of 10 feet and the radius of a base of 8/2=4 feet. Its volume is $$\frac{1}{2}\pi{r^2}h=80\pi$$ cubic foot.

The weight of the slag is $$80\pi*50=4,000\pi$$ pounds, which is $$\frac{4,000\pi}{2,000}=2\pi\approx{6.28}$$ tons.

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Re: The figure above shows the shape and dimensions of the [#permalink]

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13 Nov 2014, 23:46
Hello from the GMAT Club BumpBot!

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Re: The figure above shows the shape and dimensions of the [#permalink]

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30 Jan 2016, 19:59
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: The figure above shows the shape and dimensions of the   [#permalink] 30 Jan 2016, 19:59
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