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12 Sep 2018, 00:43
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
60% (01:47) correct
40%
(02:03)
wrong
based on 89
sessions
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A room of height 10 feet and equal length and width has a cylindrical pillar exactly in the center, what is the volume of the room excluding the space occupied by the pillar?
(1) The farthest horizontal distance from any point in the room to the pillar is 10 feet.
(2) The area occupied by the base of the pillar is 4π feet.
(1) The farthest horizontal distance from any point in the room to the pillar is 10 feet.
(2) The area occupied by the base of the pillar is 4π feet.
12 Sep 2018, 05:11
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Bunuel
Question : Volume of cubical room = Volume of Cylinder \(= a^3 - πr^2h =\)?
Also, Height of the pillar = a
Statement 1: The farthest horizontal distance from any point in the room to the pillar is 10 feet
i.e. \((1/2)*(a√2-2r) = 10\)
NOT SUFFICIENT
Statement 2: The area occupied by the base of the pillar is 4π feet
i.e. \(πr^2 = 4π\)
i.e. \(r = 2\)
btu a is still unknown hence
NOT SUFFICIENT
Combining the two statements
we can substitute \(r=2\) in \((1/2)*(a√2-2r) = 10\) to calculate value of a hence
SUFFICIENT
ANswer: option C
29 Oct 2018, 10:14
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GMATinsight
Dear GMATinsight,
Please can you explain statement 1 , what do we mean by "The farthest horizontal distance from any point in the room to the pillar is 10 feet."
Also how do we know that the room is a cube ? When the question says height 10 and equal length and width this can be interpreted two ways :
First: Height = 10 = Length = width
Second: A room has height 10 , whose length and width are equal.
Hope you can help, thank you.
