A tepee is designed to have a diameter of 10 feet and the volume of 419 ft.³ at what height the support poles crossed with some of the tepee correctly?

Question

asked Jan 26, 2022 186k views

1 Answer

Jhon Chacolla · Answer 1 · 2022-02-01T12:00:57+0000

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 :

$V=\pi r^2 h\\\\h=(V)/(\pi r^2)\\\\h=(419)/(3.14* 5^2)\\\\h=5.33\ ft$

So, the required height is equal to 5.33 feet.