Question

Question
AL Athletics makes poles for pole vaulting. They use cylinder-shaped containers for shipping. If the company is mailing a pole that is 10 ft. in length in a container that has a height of 8 ft., what radius is needed for the pole to fit perfectly on the diagonal? Round the answer to the nearest tenth. (1 point)
Responses

6.4 ft.
6.4 ft.

3.0 ft.
3.0 ft.

12.8 ft.
12.8 ft.

6.0 ft.
6.0 ft.

Answer 1

Let the cylinder radius be r. The pole, the cylinder height 8 ft, and the diameter 2r form a right triangle:
10^2 = 8^2 + (2r)^2
100 = 64 + 4r^2
4r^2 = 36 → r^2 = 9 → r = 3 ft.

Rounded to the nearest tenth: 3.0 ft.