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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 - Mathematics

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 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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APPEARS IN

NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 7 | Page 216
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