Question

A room is in the form of cylinder, surmounted by a hemispherical vaulted dome, contains 17.7 cubic metre of air and the internal diameter of the building is equal to the height of the crown of the vault above the floor. Find the height.​

Answer 1

Refer to the attachment

r^3 =371.7 / 110

r=1.8 m

H= 3.6 m