A building is in the form of a cylindrer surmounted by a hemispherical vaulted dome and contains 411921m3 of air.If the internal diameter of dome id equal to its total height above the floor,find the height of the building?
Let R be the radius, and h be the height of the cylindrical portion.
Height of the building, R+h = 2R = D = internal diameter.
⇒ h = R.
Volume = Volume of cylindrical portion + Volume of hemispherical portion
∴R = 2 m
and Total Height of the building, = R+h = 2R=2(2) = 4 m