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+1 vote
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in Physics by (49.0k points)
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If error in measurement of radius of sphere is 1 %, what will be error in measurement of volume?

(A) 1%

(B) 1/3 %

(C) 3%

(D) 10%

1 Answer

+2 votes
by (48.9k points)
selected by
 
Best answer

Correct option is (C) 3%

Given, error in measurement of radius of sphere = 1 %

As, we know that, 

\(V = \frac 43 \pi r^3\)

\(\frac{\Delta V}V = 3 \frac{\Delta r}{r}\)

\(\frac{\Delta V}V \times 100 = 3\left(\frac{\Delta r}r\times 100\right)\) 

\(= 3 \times 1\)

\(= 3\) %

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