Q. 263.9( 14 Votes )

Answer :

Length of cylindrical neck = l = 7 cm

Diameter of cylindrical neck = 4 cm

Radius of cylindrical neck = r = Diameter ÷ 2 = 4/2 cm = 2 cm

Volume of cylindrical neck = πr^{2}l

= 22/7 × 2 × 2 × 7 cm^{3}

= 88 cm^{3}

Diameter of spherical part = 21 cm

Radius of spherical part = r’ = Diameter ÷ 2 = 21/2 cm = 10.5 cm

Volume of spherical part = 4/3 πr’^{3}

= 4/3 × 22/7 × 10.5 × 10.5 × 10.5 cm^{3}

= 4851 cm^{3}

Quantity of water spherical glass vessel with cylindrical neck can hold = Volume of spherical part + Volume of cylindrical neck

Quantity of water spherical glass vessel with cylindrical neck can hold = 4851 cm^{3} + 88 cm^{3} = 4939 cm^{3}

Quantity of water spherical glass vessel with cylindrical neck can hold is 4939 cm^{3}.

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