A dome of a building is in the form of a hemisphere from inside it was White washed at the cost of 452.56 rupees of the cost of whitewashing is 2 rupees per square metre find the inside surface area of the dome volume of 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 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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