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17 Sep 2018, 22:16
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Difficulty:
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Question Stats:
53% (01:03) correct
47%
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The largest possible cylinder is enclosed in a cube. What is the largest possible volume of the cylinder?
(1) The volume of the cube is 64 cubic units.
(2) The radius of the cylinder is 2 units.
(1) The volume of the cube is 64 cubic units.
(2) The radius of the cylinder is 2 units.
17 Sep 2018, 23:13
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Bunuel
IMO A
Statement 1: The volume of the cube is 64 cubic units:
This will restrict the height of the cylinder and radius of its base, so maximum possible volume can be determined.
SUFFICIENT
Statement 2: The radius of the cylinder is 2 units
This does not restrict the height of the cylinder, so the volume could be anything.
INSUFFICIENT
Shruti0805
18 Sep 2018, 00:30
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GMATisLovE
Hi,
The question mentions that the cylinder that's been enclosed is the largest possible. I guess that would mean that the cylinder has diameter of the same length as one of its sides. From statement 2, we know that the radius is 2 and thus, diameter is 4. Again, largest possible would imply that the height would be equal to the side of the cube which makes this statement sufficient in my opinion. What do you think?
