A Sector with Central Angle $\theta \text { is }$ Is Cut from a Circle of Radius 10 Inches, and Is

Multiple Choice

A sector with central angle $\theta \text { is }$ is cut from a circle of radius 10 inches, and the edges of the sector are brought together to form a cone. Find the magnitude of such that the volume of The cone is a maximum.

A) $\sqrt { \frac { 4 } { 3 } } \pi$ radians
B) $2 \left( 1 - \sqrt { \frac { 2 } { 3 } } \right) \pi$ radians
C) $\frac { 3 } { 10 } \pi$ radians
D) $\frac { 1 } { 10 } \pi$ radians
E) $\frac { 1 } { 5 } \pi$ radians