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11 Sep 2018, 02:06
Kudos
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D
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Difficulty:
35%
(medium)
Question Stats:
69% (01:35) correct
31%
(01:34)
wrong
based on 52
sessions
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Not Attempted Yet
What is the maximum number of spheres of radius 2 can fit into a cube of volume 512 units?
A. 2
B. 3
C. 6
D. 8
E. 16
A. 2
B. 3
C. 6
D. 8
E. 16
11 Sep 2018, 02:35
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Bookmarks
Bunuel
Now the sphere will occupy the same space as a cube in which it exactly fits in and the dia of sphere and side of cube are same...
So each sphere of radius 2 or dia 4 will exactly fit into a cube of length 4..
Or the volume =4*4*4..
Total volume of bigger cube=512
So number of spheres that can fit in = 512/(4*4*4)=8
D
11 Sep 2018, 06:55
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Bunuel
Volume of cube = 512
therefore Side=8 units
Radius of Sphere=2
Dia: 4
One sphere will take 4 units length breadth and height each.
Therefore, there will be \(\frac{8}{4} =2\) along the length, breadth and height each.
therefore total no of spheres=\(2*2*2\)
=8
Answer: D
