A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of RS 498.96. If the cost of white washing is RS 2.00 per square metre, find the(i) Inside surface area of dome, (ii) Volume of air inside the dome.

$\begin{array}{l}\text{Given that,}\\ \text{Cost of white washsed}\ =498.96\ Rs\\ \text{Rate of white washed}\ =2\ Rs\ per\ m^2\\ \text{Area of dome}\ =\frac{498.96}{2}\ m^2\ =249.48\ m^2\\ \text{Area of dome}\ =2\pi r^2=249.48\ m^2,\ \Rightarrow r=6.30\ m\\ \text{Volume of hemispher}=\frac{2}{3}\pi r^3=523.4\ m^3\end{array}$

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