The percentage error in the calculated volume of a sphere, if there is error in its diameter measurement, is ______.
- (A)1
- (B)2
- (C)6✓ Correct
- (D)8
Answer: (C)
Solution
The volume of a sphere varies as the cube of its diameter, , so the fractional errors satisfy . With a error in the diameter, the error in the computed volume is .
JEE Main · 2026 · 06 Apr 2026 · Shift 2 · Single correct option