Answer:
The required height is equal to 5.33 feet.
Step-by-step 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 :
[tex]V=\pi r^2 h\\\\h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{419}{3.14\times 5^2}\\\\h=5.33\ ft[/tex]
So, the required height is equal to 5.33 feet.