A building is in the form of a cylinder surmounted by a hemispherical vaulted dome and contains of air. If the internal diameter of dome is equal to its total height above the floor, find the height of the building?
Give: Volume of building
Let total height above the floor = h
Hemisphere‘s diameter = h (given)
Height of cylinder = total height – the height of hemisphere
Volume
According to question
The volume of building = Volume of cylinder + volume of the hemisphere
h=4m