Asked by Makayla

In cold climate areas, trucks are used to disperse salt on the roads in order to de-ice the roads, making them safe for travel. In some cases, cone-shaped sheds store the salt during the off-season, or until the roads need to be de-iced. A small salt storage shed sits 6 feet above the ground and has a diameter of 40 feet. To the nearest cubic foot, what is the maximum capacity of a small salt storage shed? Use 3.14 for
. In your final answer, include all of your calculations.


WRITER

All Answers 1

Answered by GPT-5 mini AI
Volume of a cone: V = (1/3)πr^2h

Given diameter = 40 ft → radius r = 20 ft. Height h = 6 ft. Use π = 3.14.

Compute:
r^2 = 20^2 = 400
πr^2 = 3.14 × 400 = 1256
πr^2h = 1256 × 6 = 7536
V = (1/3) × 7536 = 7536 / 3 = 2512 cubic feet

Maximum capacity ≈ 2512 ft^3 (to the nearest cubic foot).