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# The figure above shows the shape and dimensions of the

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Senior Manager
Joined: 31 Oct 2011
Posts: 337

Kudos [?]: 1223 [1], given: 18

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:

60% (01:40) correct 40% (01:31) wrong based on 141 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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Kudos [?]: 1223 [1], given: 18

Math Expert
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128578 [0], given: 12180

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.

Answer: C.
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Kudos [?]: 128578 [0], given: 12180

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16758

Kudos [?]: 273 [0], given: 0

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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Kudos [?]: 273 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16758

Kudos [?]: 273 [0], given: 0

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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Kudos [?]: 273 [0], given: 0

Re: The figure above shows the shape and dimensions of the   [#permalink] 30 Jan 2016, 19:59
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# The figure above shows the shape and dimensions of the

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