If the radius of a sphere is measured as 7 m with an error of 0.02 m, then find the approximate error in calculating its volume.
If the radius of a sphere is measured as 7 m with an error of 0.02 m, then find the approximate error in calculating its volume.

Let  be the radius of the sphere and  be the error in measuring the radius.

Then, according to the question,  = 7 m and  = 0.02 m

  Volume of sphere (V) = 

  

 Approximate error in calculating the volume = Approximate value of 

 = 

 = 12.32 m3

Therefore, the approximate error in calculating volume is 12.32 m3.