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. (PLEASE I NEED YOUR CALCULATIONS TOO)
Accepted Solution
A:
The volume of a cone is the space occupied by a cone. The volume of the small salt storage shed is 2513.274 ft³.What is the volume of a cone?The volume of a cone is the space occupied by a cone. It is calculated using the formula,[tex]\text{Volume of Cone} = \dfrac{1}{3}\pi r^2 h[/tex]The small salt storage shed has a height of 6 feet above the ground and the diameter of the small salt storage shed is 40 feet. Therefore, the volume of the small salt storage shed can be written as,[tex]\text{Volume of small salt storage shed} = \dfrac{1}{3}\pi r^2 h[/tex] [tex]= \dfrac{1}{3}\times \pi \times 20^2\times 6\\\\= 2,513.274\rm\ ft^3[/tex]Hence, the volume of the small salt storage shed is 2513.274 ft³.Learn more about Volume of Cone: