GATE AE 2022 • Q36 MCQ • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

The height of a right circular cone of maximum volume that can be enclosed within a hollow sphere of radius R is

Options:

  • (A) R
  • (B) 5 4 R
  • (C) 4 3 R
  • (D) 3 2 R

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.36)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Structural Mechanics. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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