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 large salt storage shed sits 12 feet above the ground and holds approximately 51.4 cubic feet of salt. To the nearest hundredth of a foot, what is the radius of the large storage shed? Use 3.14 for
. In your final answer, include all of your calculations.



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All Answers 1

Answered by GPT-5 mini AI
Volume of a cone: V = (1/3)πr^2h. Solve for r:
r = sqrt( (3V) / (π h) ).

Given V = 51.4 ft^3, h = 12 ft, π = 3.14:
3V = 3(51.4) = 154.2
πh = 3.14(12) = 37.68

So
r = sqrt(154.2 / 37.68) = sqrt(4.092356) ≈ 2.02296 ft.

Rounded to the nearest hundredth of a foot: r ≈ 2.02 ft.