Question

the error in the measurement of radius of sphere 1%. what is the error in the measurement of volume

Answer 1

4÷3×pi×r3
given error in radius is 1%
=3(1)%=3%

Regards,
Adithiya

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%