Question

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 the volume of the cone is divided by $\pi$?

Answer 1

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.