# A hemispherical b

Radius of hemispherical bowl = rh = 9 cm

Diameter of cylindrical bottle = 3 cm

Radius of cylindrical bottle = rc = cm

Height of cylindrical bottle = h = 4 cm

The volume of water is transferred from hemispherical bowl to cylindrical bottles

Suppose there are n bottles then volume of water filled in n bottles will be same as volume of water in hemispherical bowl

Volume of hemisphere = πrh3

Volume of cylinder = πrc2h

πrh3 = n × πrc2h

2rh3 = 3nrc2h

Substitute values

2 × 93 = 3n × × 4

2 × 93 = 3n × 9

2 × 92 = 3n

162 = 3n

n = 54

Therefore, 54 bottles are required to empty the bowl

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