Question

If error in measurement of radius of sphere is 1%. What will be the error in measurement of volume

of sphere?
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Answer 1

Answer :-

Given :-

Measurement error in x = 1%

To find :-

Measurement erron in volume of sphere

Solution :-

To find the percentage error in any value :-

Suppose , $\sf x = a^n$

Percentage error in value of x = n × ( percentage error in value of a )

According to the given question :-

Volume of sphere = $\sf \frac{4}{3} \pi r^3$

Percentage error in volume of sphere = 3 ( perecentage error in value of radius)

= 3 ( 1 % )

= 3%

Percentage error in volume of sphere = 3%