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  • Please solve RD Sharma class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 1 maths textbook solution

Please solve RD Sharma class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 1 maths textbook solution

Answers (1)

Answer:

B.\; 4\pi

Hint:

Here, we will use the formula,

v=\frac{4}{3}\pi r^{3}

Given:

Here,

r=10\; \; and \; \; \frac{dr}{dt}=0.01

Solution:

\begin{gathered} v=\frac{4}{3} \pi r^{3} \\ \Rightarrow \frac{d v}{d t}=4 \pi r^{2} \frac{d r}{d t} \\ \end{gathered}

\Rightarrow \text { Substituting values of } r=10 \quad \text { and } \frac{d r}{d t}=0.01

\begin{aligned} &\text { We get }\\ &\frac{d v}{d t}=4 \pi \times 10^{2} \times 0.01=4 \pi \end{aligned}

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Gurleen Kaur

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