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# The figure above shows the shape and dimensions of the inside of a con

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Manager
Joined: 31 Oct 2011
Posts: 235
The figure above shows the shape and dimensions of the inside of a con  [#permalink]

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21 Mar 2012, 13:57
1
6
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Difficulty:

55% (hard)

Question Stats:

65% (02:17) correct 35% (02:34) wrong based on 192 sessions

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The figure above shows the shape and dimensions of the inside of a container that has a flat rectangular 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

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Math Expert
Joined: 02 Sep 2009
Posts: 51218
The figure above shows the shape and dimensions of the inside of a con  [#permalink]

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21 Mar 2012, 14:25

The figure above shows the shape and dimensions of the inside of a container that has a flat rectangular 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 inside of a con  [#permalink]

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25 Feb 2018, 18:36
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Re: The figure above shows the shape and dimensions of the inside of a con &nbs [#permalink] 25 Feb 2018, 18:36
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# The figure above shows the shape and dimensions of the inside of a con

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