Question
The dimensions of a cone are measured using a scale with a least count of 2 ~mm . The diameter of the base and the height are both measured to be 20.0 ~cm . The maximum percentage error in the determination of the volume is _______ .
JEE Advanced
Physics
Mathematics in Physics
2024
JEE Advanced 2024 (Paper 2)
JEE Advanced Physics Question (2024) — Solution
Options
- A. A
- B. B
- C. C
- D. D
Answer
A. A
Step-by-step solution
V = 1 3 ( D 2 )^2 H \% Error in V =2 (% error in D )+\% error in H . Least count is 2 ~mm . \% error in D = 2 ~mm 20 ~cm 100 \%=1 \% & % error in H = 2 ~mm 20 ~cm 100 \%=1 \% So \% error in V =2 1 \%+1 \%=3 \%
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