Allied & ICAR Exam Bank • ALLIED_2579 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A sphere of radius 10 cm is sliced by a flat plane situated at a perpendicular distance of 6 cm from its center. What is the radius (in cm) of the circular cross-section?

Answer Key:

8

Step-by-Step Solution & Explanation

By the Pythagorean theorem: r = sqrt(R^2 - d^2) = sqrt(10^2 - 6^2) = sqrt(100 - 36) = sqrt(64) = 8 cm.
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