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# The figure above shows the shape and dimensions of the

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The figure above shows the shape and dimensions of the [#permalink]  21 Mar 2012, 13:57
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62% (02:36) correct 38% (01:34) wrong based on 74 sessions
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
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Re: The figure above shows the shape and dimensions of the [#permalink]  21 Mar 2012, 14:25
Expert's post
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]  13 Nov 2014, 22:46
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Re: The figure above shows the shape and dimensions of the   [#permalink] 13 Nov 2014, 22:46
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