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  • Please solve RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 13 maths textbook solution

Please solve RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 13 maths textbook solution

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Answer:  2.16 \pi m^{2}

Hint: Here, we use the surface area of the sphere (s)

s=4 \pi r^{2}

Given: r=9 \mathrm{~m} \text { and } \Delta r=0.03 \mathrm{~m}

Solution:  s=4 \pi r^{2}

\begin{aligned} &\frac{d s}{d x}=8 \pi r \\\\ &d s=\left(\frac{d s}{d x}\right) \Delta r \\\\ &=(8 \pi r) \Delta r \end{aligned}

\begin{aligned} &=8 \pi(9)(0.03) m^{2} \\\\ &=2.16 \pi m^{2} \end{aligned}

⇒  Hence, the approximate error in circulating the surface area is 2.16 \pi m^{2}

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