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 :
![V=\pi r^2 h\\\\h=(V)/(\pi r^2)\\\\h=(419)/(3.14* 5^2)\\\\h=5.33\ ft](https://img.qammunity.org/2022/formulas/mathematics/high-school/132jgof57g3b836lh5c1m0hb8cnn8pely8.png)
So, the required height is equal to 5.33 feet.