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Question
If the radius of a sphere is measured as 7 m with an error of 0.02m, then find the approximate error in calculating its volume.
Solution
Let r be the radius of the sphere and Δr be the error in measuring the radius.
Then,
r = 7 m and Δr = 0.02 m
Now, the volume V of the sphere is given by,
Hence, the approximate error in calculating the volume is 3.92 π m3.
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