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# PS Crystal Spheres

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Current Student
Joined: 29 Jan 2005
Posts: 5218

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03 Sep 2006, 05:43
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Senior Manager
Joined: 14 Jul 2005
Posts: 402

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03 Sep 2006, 07:54
E 7/8

Volume of cube = x^3
Volume of sphere = 4/3*pi*r^3

Say x=4, then d=2 and r=1

Vol of cube = 64
Vol of 2 spheres = 2*[4/3 * pi * 1^3] = 8 (approx)

Hence %age filled with powder = 56/64 = 7/8
CEO
Joined: 20 Nov 2005
Posts: 2894
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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04 Sep 2006, 00:23
x^3 - 2 * 4/3 * 22/7 * x^3/64
x^3 * (1-11/84) = x^3 * 75/84

approx 7/8
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

04 Sep 2006, 00:23
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