Question Statement:
The volume of the solid formed by a complete rotation of the shaded portion of the
circle of radius R about the y-axis is kšR3. The value of k is:
Options:
-
(A) 5
12
-
(B) 5
24
-
(C) 7
12
-
(D) 7
24
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.37)**
**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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