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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. - Mathematics

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.

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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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APPEARS IN

NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 6 | Page 216
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