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Need solution for RD Sharma Maths Class 12 Chapter 17 Maxima and Minima Excercise Case Study Based Questions question 1 Subquestion (v)

Answers (1)

Answer:  \frac{5000 \mathrm{~m}^{2}}{\pi}

Hint: use concept of maxima and minima.

Solution:

Total area  \mathrm{Z}=\frac{-\mathrm{x}^{2}}{\pi}+\frac{10000}{\pi}

Putting,

x=0

\begin{aligned} &Z=\frac{100^{2}}{\pi} \\ & \end{aligned}

Z=\frac{10000}{\pi} \mathrm{m}^{2}

Also Maximum area, \mathrm{A}=\frac{5000}{\pi} \mathrm{m}^{2}

Thus,

 Difference between areas   \begin{aligned} &=\frac{10000}{\pi}-\frac{5000}{\pi} \\ & \end{aligned}

                                        =\frac{5000 \mathrm{~m}^{2}}{\pi}

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