Secret treasure

Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure.

Correct result:

r =  1.3333 m
h =  1 m

Solution:

Our quadratic equation calculator calculates it.

$h=v-r\cdot 2\cdot v\mathrm{/}a=3-1.3333\cdot 2\cdot 3\mathrm{/}4=1\text{ m}$

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