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niteshwaghray
GMAT 1: 700 Q45 V40
Posts: 59
25 May 2017, 13:42
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D
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61% (02:42) correct
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A right circular cylinder of height 1 meter and radius \(9\sqrt{2}\) centimeters is to be used to store cubes of side length 3 cm each. If in each layer of cubes stored in the cylinder, the cubes are arranged such that the top view of the layer is a square, what is the maximum number of cubes that can be stored in the cylinder? (1 meter = 100 centimeters)
A. 198
B. 200
C. 600
D. 1188
E. 1200
A. 198
B. 200
C. 600
D. 1188
E. 1200
25 May 2017, 14:31
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niteshwaghray
In each layer of cubes stored in the cylinder, the cubes are arranged such that the top view of the layer is a square means that little cubes make a larger square. The largest square, therefore would be an inscribed square in the circle. Largest inscribed square in the circle of radius \(9\sqrt{2}\), will have the diagonal of twice of that (the diagonal of the inscribed square = the diameter of circle). So, the diagonal of the inscribed square would be \(18\sqrt{2}\). This gives the side of the square equal to 18.
A square 18 by 18, can fit the bases of 6*6 = 36 cubes.
The height of 1 meters = 100 centimetres, can fit 33 cubes.
Total = 33*36 = 1188 cubes.
Answer: D.
08 Dec 2018, 10:18
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A right circular cylinder of height 1 meter and radius 9√2 centimeters is to be used to store cubes of side length 3 cm each. If in each layer of cubes stored in the cylinder, the cubes are arranged such that the top view of the layer is a square, what is the maximum number of cubes that can be stored in the cylinder? (1 meter = 100 centimeters)
A) 198
B) 200
C) 600
D) 1188
E) 1200
