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?

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 :

So, the required height is equal to 5.33 feet.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction