Allied & ICAR Exam Bank • ALLIED_2436MCQ • 2 Marks
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Spatial Reasoning & 3D Representations
Question Statement:
An ant crawls on the outer surface of a cylindrical grain bin of radius R = 1 m and height H = 4 m. Starting from the bottom at theta = 0, it travels to a point directly opposite at the top (theta = pi, z = H). What is the minimum crawling distance along the surface?
On the unrolled development, the shortest path is the straight hypotenuse between (0, 0) and (pi*R, H): d = sqrt((pi*R)^2 + H^2) = sqrt(pi^2 + 16) approx 5.09 m.