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  • Need solution for RD Sharma maths class 12 chapter Differentials Errors and Approximations exercise 13.1 question 15

Need solution for RD Sharma maths class 12 chapter Differentials Errors and Approximations exercise 13.1 question 15

Answers (1)

Answer: 3.92 \pi \mathrm{m}^{3}

Hint: Here volume V the so here is given by V=\frac{4}{3} \pi r^{3}

Given: r=7 \mathrm{~m} \text { and } \Delta r=0.02 \mathrm{~m}

Solution:   \frac{d v}{d x}=4 \pi r^{2}

\begin{aligned} &\Delta v=d v\left(\frac{d v}{d r}\right) \Delta r=4 \pi r^{2} \Delta r \\\\ &=4 \pi(7)^{2}(0.02)=3.92 \pi m^{3} \end{aligned}

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