Right circular cone — Base radius 6 cm and slant height 28 cm. Find the curved surface area (CSA).

Introduction / Context:Curved surface area (CSA) of a cone is π r l, where r is base radius and l is slant height.

Given Data / Assumptions:

• r = 6 cm
• l = 28 cm

Concept / Approach:Direct substitution into CSA = π r l.

Step-by-Step Solution:CSA = π * 6 * 28 = 168π ≈ 528 sq. cm (using π ≈ 22/7)

Verification / Alternative check:168 * (22/7) = 168 * 3.142857… = 528 exactly with 22/7.

Why Other Options Are Wrong:462 corresponds to π * r^2 or other mix-ups; 268 and 396 are underestimates; 658 is an overestimate.

Common Pitfalls:Using height instead of slant height in π r l.

Final Answer:528 sq. cm