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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: 213
The figure above shows the shape and dimensions of the inside of a con  [#permalink]

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21 Mar 2012, 14:57
1
7
00:00

Difficulty:

55% (hard)

Question Stats:

67% (02:19) correct 33% (02:29) wrong based on 184 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

Attachment:

Untitled.png [ 2.78 KiB | Viewed 5273 times ]
Math Expert
Joined: 02 Sep 2009
Posts: 58312
The figure above shows the shape and dimensions of the inside of a con  [#permalink]

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21 Mar 2012, 15:25

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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02 Jun 2019, 10:32
eybrj2 wrote:

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

Attachment:
Untitled.png

its basically a cylinder half
1/2 * pi * r^2 *h
r=4 , h=10
area = 80pi
and it will contain 80pi*50 ; 4000pi lbs
4000 * pi /2000 = ~ 6
IMO C
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Re: The figure above shows the shape and dimensions of the inside of a con   [#permalink] 02 Jun 2019, 10:32
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