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A circular hall (big room) has a hemispherical roof.The greatest height is equal to the inner diameter. Find the area of the floor, given that the capacity

of the hall is



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Let the greatest height = H meters
radius of the hemispherical roof = radius of the circular hall = H/2 meters

Height of cylindrical portion = H - H/2  meters  =  H/2 meters
Volume = π (H/2)² H/2  + 2/3  π (H/2)³  =  48510  m³
             22/7  H³ (1/8 + 1/12) = 48510  m³
            H = 42 m
Radius of floor/circular hall = 21 m
Area of the floor = 22/7 21²  m²  = 1386 m²
2 5 2
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