A building is in the form of cylinder surmounted by a hemispherical dome. The base diameter of the dome is equal to 23 of the total height of the building. Find the height of the building if it contains 67121m3 of air.
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Height of building = height of cylinder + height of hemisphere
r is radius of cylinder and dome
diameter of dome =2/3× height of building
Volume of air in building = Volume of cylinder+ Volume of dome