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What is the radius of the largest sphere that can fit into a box of di

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Joined: 02 Sep 2009
Posts: 49258
What is the radius of the largest sphere that can fit into a box of di  [#permalink]

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New post 09 Sep 2018, 08:57
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (00:53) correct 33% (00:57) wrong based on 18 sessions

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Joined: 12 Sep 2015
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Location: Canada
Re: What is the radius of the largest sphere that can fit into a box of di  [#permalink]

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New post 09 Sep 2018, 09:40
Top Contributor
Bunuel wrote:
What is the radius of the largest sphere that can fit into a box of dimensions 8 by 10 by 12?

A. 4
B. 5
C. 6
D. 8
E. 12


We can see that the size of the sphere is MOST restricted by shortest dimension (in this case 8)
Image

We can see that the DIAMETER of the sphere cannot be greater than 8
This means the RADIUS of the sphere cannot be greater than 4

Answer: A

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Brent
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Re: What is the radius of the largest sphere that can fit into a box of di &nbs [#permalink] 09 Sep 2018, 09:40
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