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  • Explain solution RD Sharma class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 12 maths

Explain solution RD Sharma class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 12 maths

Answers (1)

Answer:

B.\; \; \frac{3}{16\pi }\; cm/secB.\; \; \frac{3}{16\pi }\; cm/sec

Hint:

Here we use formula of a sphere of radius r is defined by

\begin{aligned} &V(r)=\frac{4}{3} \pi r^{3} \quad \quad.....(i) \end{aligned}

Given:

\begin{aligned} &r=2 c m\; \; \frac{d V}{d t}=3 \mathrm{~cm}^{2} / \mathrm{sec} \end{aligned}

Solution:

→ Differentiating (i) with respect to t, we get

\begin{aligned} &\frac{d V}{d t}=\frac{4}{3} \pi r^{2} \times \frac{d r}{d t} \\ &3=4 \pi \times 2^{2} \times \frac{d r}{d t} \\ &\frac{d r}{d t}=\frac{3}{16 \pi} \mathrm{cm} / \mathrm{sec} \end{aligned}

Posted by

Gurleen Kaur

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