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i6 A circular hall (big room) has a hemispherical roof. The greatest height is equal tothe inner diameter. Find the area of the floor, given that the capacity of the hall is48510m3.

Answer»

Let radius of the hall = rAs per question= Volume of cylindrical Hall + Volume of dome = πr²*r+ (4/3) πr³/2 = πr³ + 2πr³/3 =5πr³/3then we have 5πr³/3=48510 r³=9264.72 ⇒ r=21.0028 Area of floor= πr²=π*441.118=1385.81 Floor area is 1385 m²



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