A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand forms a right cone 3333 feet high and a base diameter of 5454 feet. How many cubic yards of sand has the department received?

Answer :

[tex]\textit{volume of a cone}=\cfrac{\pi r^2h}{3}\qquad \begin{cases} r=radius=\frac{diameter}{2}\\ h=height \end{cases}[/tex]

you're given the height of the cone,
and the diameter, notice, the radius is half-diameter,
so, split that diameter in half, to get the radius,
plug in your values

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