Question

In measurement of radius of a sphere percentage error is 1 what will be error in volume of sphere

Answer 1

%error in radius = 1

volume of sphere = 4πr³/3

error in volume = 3(error in r)

=3(1) = 3

Answer 2

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%