Which of the cones listed below can be formed from a $252^\circ$ sector of a circle of radius $10$ by aligning the two straight sides? $\textbf{(A) } \text{A cone with slant height of 10 and radius 6}$ $\textbf{(B) } \text{A cone with height of 10 and radius 6}$ $\textbf{(C) } \text{A cone with slant height of 10 and radius 7}$ $\textbf{(D) } \text{A cone with height of 10 and radius 7}$ $\textbf{(E) } \text{A cone with slant height of 10 and radius 8}$