Allied & ICAR Exam Bank • ALLIED_2585 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

Two solid spheres of radius 5 cm have their centers separated by a distance of 6 cm. What is the radius (in cm) of the circular boundary curve formed where the two spheres intersect?

Answer Key:

4

Step-by-Step Solution & Explanation

The common chord is perpendicular to the line of centers, bisecting the 6 cm separation at distance d = 3 cm from each center. By Pythagoras: r = sqrt(R^2 - d^2) = sqrt(5^2 - 3^2) = sqrt(16) = 4 cm.
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