The Total solution for NCERT class 6-12
If the radius of a sphere is measured as 9 m with an errorof 0.03 m, then find the approximate error in calculating in surface area.
Let r be the radius of thesphere and Δr be the error in measuring the radius.
Then,
r = 9 mand Δr = 0.03 m
Now, the surface area of the sphere (S) isgiven by,
S = 4πr2
Hence, the approximate error in calculatingthe surface area is 2.16π m2.