Q. 124.1( 8 Votes )

# A hemispherical b

Answer :

Radius of hemispherical bowl = r_{h} = 9 cm

Diameter of cylindrical bottle = 3 cm

Radius of cylindrical bottle = r_{c} = 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 = πr_{h}^{3}

Volume of cylinder = πr_{c}^{2}h

⇒ πr_{h}^{3} = n × πr_{c}^{2}h

⇒ 2r_{h}^{3} = 3nr_{c}^{2}h

Substitute values

⇒ 2 × 9^{3} = 3n × × 4

⇒ 2 × 9^{3} = 3n × 9

⇒ 2 × 9^{2} = 3n

⇒ 162 = 3n

⇒ n = 54

Therefore, 54 bottles are required to empty the bowl

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