Answer:
The required height is equal to 5.33 feet.
Explanation:
Given that,
Diameter, d = 10 feet
Volume, V = 419 ft.³
We need to find the height the support poles crossed with some of the tepee correctly. Let the height is h.
The tepee is in the form of a cylinder. The volume of a cylinder is given by :

So, the required height is equal to 5.33 feet.