Question

A tepee is designed to have a diameter of 10 ft and a volume of 393 ft. At

what height, h, should the support poles cross to assemble the tepee
correctly? Use 3.14 for 1 and round your answer to the nearest foot.

Answer 1

15 ft.

Explanation:

The tepee is a cone and its volume

= 1/3 pi r^2 h where r = radius and h = height.

The radius r = 1/2 * 10 = 5 ft.

So we have the equation:

393 = 1/3*3.14* 5^2 * h

h = 393 / (1/3*3.14*25)

= 15.02 ft.