A cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. what is the result when t
he volume of the cone is divided by $\pi$?
1 answer:
The radius of the completed cone is
... 18×(300°/360°) = 15
The height of the completed cone is found from the Pythagorean theorem:
... 15² + h² = 18²
... h = √99 = 3√11
The volume is given by
... V = (1/3)πr²·h = (1/3)π·15²·3√11
Dividing this value by π gives 225√11 cubic units.
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