Consider a right circular cone with vertical height and base radius .
MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
Consider a right circular cone with vertical height h and base radius r.
(i) Define the term “slant height” for a right circular cone.
(ii) Draw or imagine a cross-section of the cone through its axis. Explain why this cross-section is a right-angled triangle.
(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.