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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.452.56. If the cost of white washing is RS 3 per square metre, find the
i) Inside surface area of the dome
ii) Volume of the air inside the dome.
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Answer:
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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