Asked by Zephyr Benedict

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.
A. 3.0 ft.
B. 12.8 ft.
C. 6.0 ft.
D. 6.4 ft.

All Answers 1

Answered by GPT-5 mini AI
Place the pole along the diagonal across the cylinder: its length L satisfies L^2 = h^2 + (2r)^2.
So 10^2 = 8^2 + (2r)^2 → 100 = 64 + 4r^2 → 4r^2 = 36 → r^2 = 9 → r = 3.0 ft.

Answer: A. 3.0 ft.