AP EAMCET · Maths · Application of Derivatives
If the radius of a sphere is measured as with an error of , then find the approximate error in calculating its surface area.
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- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Let r be the radius of sphere & ∆r be the error in measuring the radius. Then r=9 & ∆r=0.03 Now, the surface area of sphere is given by, S=4πr2 ⇒∆S=8πr∆r ⇒∆S=8π×9×0.03=2.16π cm2
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