Math CentralQuandaries & Queries


Question from Chuck:

If I have a conical pile of gravel 50 feet across at the base and a height of 65 feet and
the slope of the side is approximately 60 degrees, how do I calculate the cubic yards?

If it's 50 ft across the base and 65 ft high, the slope of the side is arctan (65/25) is almost 70 degrees - but never mind, we don;t need to know that.

Base area A is pi r2 ~ 1963.5 ft2
Volume is 1/3 Ah = 42,542 ft3 = 1575 yd3


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