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 33 feet high and a base diameter of 60 feet. How many cubic yards of sand has the department received?

Question

wolf1728 · Answer

Cone Volume = (π • r² • h) / 3
Cone is 11 yards high and radius is 10 yards
So, volume = (π • 10² • 11) / 3
I think you can solve it from there right?

nurali · Answer

A cone is 1/3 of a cylinder the formula is

V = (1/3) pi *  r^2 * h

so we have

V = (1/3) * pi * 30^2 * 33
   =  31086 cubic feet

However, 27 cubic feet = 1 cubic yard so

31086/27 = 1151.333 cubic yards

wolf1728 · Answer

Yes, that's what my calculation equals too.