AP EAMCET · Maths · Application of Derivatives
There is an error of \(\pm 0.04 \mathrm{~cm}\) in the measurement of the diameter of a sphere. When the radius is \(10 \mathrm{~cm}\), the percentage error in the volume of the sphere is
- A \(\pm 1.2\)
- B \(\pm 1.0\)
- C \(\pm 0.8\)
- D \(\pm 0.6\)
Answer & Solution
Correct Answer
(D) \(\pm 0.6\)
Step-by-step Solution
Detailed explanation
Given, error in diameter \(= \pm 0.04\) \(\therefore \quad\) Error in radius, \(d r= \pm 0.02\) \(\therefore\) Per cent error in the volume of sphere…
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