CBSE - X - Mathematics - Surface Areas and Volumes
A building is in the form of a cylinder surmounted by a hemispherical vaulted dome and contains 880/
Let R be the radius, and h be the height of the cylindrical portion.
Height of the building, R+h = 2R = D = internal diameter.
This gives, h = R.
Volume = Volume of cylindrical portion + Volume of hemispherical portion
= πR2h + (4πR3/3)/2 = 880/21
(22/7)(R2h + 2R3/3) = 880/21
R2(h+2R/3) = 440/3
R2(R+2R/3) = 440/3
R3(5/3) = 440/3
R3 = 88
R = 4.45 m
and Total Height of the building, = R+h = 2R = 8.9 m
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