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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Answer:
We'll use the volume of a cone to answer this one. The formula is:
We are given h=6, d=40 so r=20. Substituting into the formula:
v = 1/3 x 3.14 x r^² x H
h = 6, d = 40, and r = 20
v = 1/3 x 3.14 x 20^2 x 6
= 2512ft cubed
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