TS EAMCET · Maths · Application of Derivatives
If the relative errors in the base radius and the height of a cone are same and equal to , then the percentage error in the volume of that cone is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given that, Relative error of height δhh=0.02 Relative error of radius δrr=0.02 Volume of the cone, V=13πr2h Applying log on both sides, logV=logπ3r2h ⇒ logV=logπ3+logr2+logh ⇒ 1VδV=0+2·δrr+δhh…
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