question_answer

A sector of a circle of radius 15 cm has the angle \[\mathbf{120}{}^\circ \]. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.

A) \[\frac{4430\sqrt{2}}{3}c{{m}^{3}}\]              

B) \[\frac{4500\sqrt{3}}{7}c{{m}^{3}}\]

C) \[\frac{5500\sqrt{2}}{21}c{{m}^{3}}\]      

D) \[\frac{2430\sqrt{2}}{7}c{{m}^{3}}\]

E) None of these