Question

15. A building is in the form of a cylinder surmounted by a hemisphere valted dome and
contains 41×19/23 metre cube of air. If the internal diameter of dome is equal to the total height of


the building, find the height of the building.
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Answer 1

Answer:

Diameter of hemisphere (D)= Total height of building (H)

Radius of hemisphere (R)=2H= Height of the hemisphere

Height of cylinder =H− 2H =2HVolume of building = Vol. of cylinder + Vol. of hemisphere 21880=πr 2H+32πr321880=π(2H)3+32π(2H)3H=4 m