24. 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 (t) inside
surface area of the dome, (in) volume of the air inside the dome
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The inner surface area of the dome is nothing but the total cost of whitewashing divided by the rate per meter.
Hence inner surface area= 498.96 / 2 = 249.48 m².
Now, inner surface area = 2πr². therefore 2πr² = 249.48, which gives r = 6.3 m. so, volume = 2/3*πr² = 523.908 m³.
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