A dome of a building is in the form of a hemisphere. From inside, it was white washed at the cost of rs 997.92. If the cost of white washing is rs 4 per square meter, find the volume of air inside the dome.
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area = cost / rate = 997.92 / 4 = 249.48 m^2
surface area = 2 * 22 / 7 * r^2
249.48 /2 = 22/7 * r^2
124.74 = 22 / 7 * r^2
124.74 * 7 = 22 r^2
873.18 = 22 r^2
r^2 = 873.18 / 22
r = 6.3 m
volume = 2/3 * 22/7 * 6.3 * 6.3 * 6.3
= 5239.08 m3
therefore volume of air that can be occupied in the hemisphereical dome= 5239.08 m^3
surface area = 2 * 22 / 7 * r^2
249.48 /2 = 22/7 * r^2
124.74 = 22 / 7 * r^2
124.74 * 7 = 22 r^2
873.18 = 22 r^2
r^2 = 873.18 / 22
r = 6.3 m
volume = 2/3 * 22/7 * 6.3 * 6.3 * 6.3
= 5239.08 m3
therefore volume of air that can be occupied in the hemisphereical dome= 5239.08 m^3
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