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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

by BTGmoderatorLU » Sat Nov 10, 2018 2:39 pm
Source: GMAT Paper Tests

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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

The OA is C.
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by deloitte247 » Sun Nov 11, 2018 11:36 am
The container show is half of a cylinder
height (h) = 10 ft
radius of base (r) = $$\frac{8}{2}=4\ ft$$
$$Volume=\frac{1}{2}\pi r^2h$$
$$=\frac{1}{2}\cdot\frac{22}{7}\cdot4^2\cdot10$$
$$=\frac{1}{2}\cdot\frac{22}{7}\cdot16\cdot10$$
$$=251.43$$
Weight of slag $$=251.43\ \cdot50$$
$$=12591.5$$
$$\sin ce\ 1\ ton=2000$$
$$weight\ in\ tons=\frac{12571.5}{2000}$$
$$=6.28575=6$$
$$answer\ is\ Option\ C$$
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