The Total solution for NCERT class 6-12
If the radius of a sphere is measured as 7 m with an errorof 0.02m, then find the approximate error in calculating its volume.
Let r be the radius of thesphere and Δr be the error in measuring the radius.
Then,
r = 7 mand Δr = 0.02 m
Now, the volume V of thesphere is given by,
Hence, the approximate error in calculatingthe volume is 3.92 π m3.