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# PS Crystal Spheres

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Current Student
Joined: 29 Jan 2005
Posts: 5240
Followers: 23

Kudos [?]: 191 [0], given: 0

PS Crystal Spheres [#permalink]  03 Sep 2006, 04:43
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(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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Crystal spheres.doc [68.5 KiB]

Senior Manager
Joined: 14 Jul 2005
Posts: 402
Followers: 1

Kudos [?]: 12 [0], given: 0

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: 2910
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 19

Kudos [?]: 132 [0], given: 0

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

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