How much is the side edge of a straight pyramid knowing that its height is $$10$$ cm and the radius of the base is $$5$$ cm?
See development and solution
Development:
From the formula introduced in the section "calculation of the edge of a pyramid", we know that $$10$$ cm is the height, therefore, $$h = 10$$ and the radius of the base is $$5$$ cm, consequently, $$r = 5$$.
Applying the given formula we have:
$$$a=\sqrt{h^2+r^2}=\sqrt{10^2+5^2}=5\sqrt{5}$$$
Solution:
The side edge of the pyramid is $$5\sqrt{5}$$ cm.