#### Answer

h = 8.5
r = 4.25

#### Work Step by Step

We first find the height and radius of the cylinder. The height is part of a 45-45-90 triangle with the radius of the sphere, so:
$h = \sqrt2R = 6\sqrt2 = 8.5$
$r = h/2 = 8.5/2 = 4.25$

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h = 8.5
r = 4.25

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