n 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. This 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.
Accepted Solution
A:
To find the radius of the circular storage shed, you will use the formula for finding the volume of a cone (V=1/3 x pi x r^2 x h, where r is the radius and h is the height.
You will substitute in the information you know and then solve for the radius(r).
Please see the attached picture for the steps necessary to get an approximate radius of 2.02 ft as the radius.