Allied & ICAR Exam Bank • ALLIED_2577 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A cone has base radius r = 3 cm and vertical height h = 4 cm. What is the sector angle theta (in degrees) of its lateral development?

Answer Key:

216

Step-by-Step Solution & Explanation

Slant height L = sqrt(r^2 + h^2) = sqrt(3^2 + 4^2) = 5 cm. Sector angle theta = 360 * (r / L) = 360 * (3 / 5) = 216 degrees.
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