Q. 74.8( 8 Votes )
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.
Answer :
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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