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Question
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 in surface area
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Solution
Let r be the radius of the sphere and Δr be the error in measuring the radius.
Then,
r = 9 m and Δr = 0.03 m
Now, the surface area of the sphere (S) is given by,
S = 4πr2
Hence, the approximate error in calculating the surface area is 2.16π m2.
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