Question

The error in measurement of radius of sphere is 1%. What is the error in measurement of volume
​

Answer 1

V

=

4

3

π

r

3

=

4

3

·

π

·

1

3

≈

4.18879

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%