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

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by BTGmoderatorLU » Fri Dec 11, 2020 10:09 am

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Source: GMAT Paper Tests
Untitled(1).png
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 OA is C
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Re: The figure above shows the shape and dimensions of the inside of a container that has a flat rectangular...

by Scott@TargetTestPrep » Mon Dec 14, 2020 7:20 am
BTGmoderatorLU wrote: ↑
Fri Dec 11, 2020 10:09 am
 Source: GMAT Paper Tests

Untitled(1).png

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 OA is C
Solution:

We see that the container is a “semi-cylinder”; therefore, its volume is ½ x π x 4^2 x 10 = 80π cubic feet. Since the slag weighs 50 pounds per cubic foot, the slag in the container weighs 50 x 80π = 4000π pounds. Since 1 ton = 2000 pounds, the slag weighs 4000π/2000 = 2π tons or approximately 6 tons (recall that π is approximately 3.14).

Answer: C

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