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A circular hall(big room) has 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 48510 m3.
greatest height of the hall or the height with the top


let radius of the hall = r
As per question= Volume of cylindrical Hall + Volume of dome
                        = πr²*r+ (4/3) πr³/2
                        = πr³ + 2πr³/3 =5πr³/3
then we have    5πr³/3=48510
                         ⇒  r=21.0028
       Area of floor= πr²=π*441.118=1385.81
                         Floor area is 1385 m²

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Hall height includes dome r+r. It is correct
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