Physics · Least count, significant figures, Errors in measurements
The radius of a sphere is measured to be \mathrm{cm} \) the maximum percentage e
The radius of a sphere is measured to be \( (4.0+2.0) \mathrm{cm} \) the maximum percentage error in the measurement of the volume of the sphere is
- A. \( 10 \% \)
- B. 15 \%
- C. \( 20 \% \)
- D. 25 \%
Step-by-step solution
Given radius r = 4.0 cm with absolute error Δr = 0.2 cm (interpreting the ambiguous notation as ±0.2 cm). Volume V of sphere is proportional to r^3, so maximum percentage error in volume is 3 × (Δr/r) × 100% = 3 × (0.2/4) × 100% = 3 × 0.05 × 100% = 15%.
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