Consider a right circular cone with vertical height h and base radius r.
a. (i) Define the term “slant height” for a right circular cone.
b. (ii) Draw or imagine a cross-section of the cone through its axis. Explain why this cross-section is a right-angled triangle.
c. (iii) Using the fact obtained in part (ii), show that the slant height l, the radius r, and the vertical height h satisfy the relation l2=r2+h2.