Question

2. If the error in the measurement of radius is 4%, then the error in the determination of volume of the sphere
will be:
(a) 16%
(6) 4%
(c) 8%
(d) 12%

Answer 1

Answer :-

Given :-

Measurment error in the radius = 4%

To find :-

Measurment error in volume of sphere

Solution :-

Volume of sphere = 4/3 πr³

Measurment error in sphere = 3 (Measurment error in the radius)

= 3 ( 4% )

= 12 %

Measurment error in volume of sphere = 12%