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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.


The inner surface area of the dome is nothing but the total cost of whitewashing divided by the rate per metre. hence inner surface area= 498.96 / 2 = 249.48 m^2. now, inner surface area = 2πr^2. therefore 2πr^2 = 249.48, which gives r = 6.3 m. so, volume = 2/3*πr^3 = 523.908 m^3.
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