Q7 of 168 Page 216

If the radius of a sphere is measured as 9 m with an error of 0.03 m, then find the approximate error in calculating its surface area.

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

Now, it is given that r = 9m and Δr = 0.03m


We know that surface area of sphere (S) =


Now,



= (8πr)Δr


= 8π (9)(0.03)m2


= 2.16π m3


Therefore, the approximate error in calculating its surface area is 2.16π m3.


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