SOLUTION: how high is a staggered, 20 layer stack of pipes if the diameter of each pipe is 12 cm?

Question 1118283: how high is a staggered, 20 layer stack of pipes if the diameter of each pipe is 12 cm?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
How high is a staggered, 20 layer stack of pipes if the diameter of each pipe is 12 cm?
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There is actually a formula for this:
The height, h(n), of n layers is
, or approx

===========================
The above formula can be derived from this:

Sanity check: Clearly (and coarsely) for a stack of pipes with 20 layers:

209.5cm = 34.9*r which falls in the above range.

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