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  • Please solve RD Sharma class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 25 maths textbook solution

Please solve RD Sharma class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 25 maths textbook solution

Answers (1)

Answer:

D. 8\pitimes the rate of change of radius.

Hint:

The surface area of a sphere with radius r is defined as

A(r)=4\pi r^{2} \quad \quad \quad \quad .......(i)

Given:

 

Solution:

\begin{aligned} &\rightarrow \text { Differentiating (i) respect to } \mathrm{t}, \text { we get }\\ &\frac{d A}{d t}=8 \pi r \frac{d r}{d t} \end{aligned}

\rightarrow 8 \pi \times \text { current radius } \times \text { rate of change of radius }

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Gurleen Kaur

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