Answer :

Height of solid cylinder = h = 14 cm


Diameter of solid cylinder = 7 cm


Radius of solid cylinder = r = Diameter ÷ 2 = 7/2 cm = 3.5 cm


Volume of solid cylinder = πr2h


= 22/7 × 3.5 × 3.5 × 14 cm3


= 539 cm3


Height of conical cavity = h’ = 4 cm


Radius conical cavity = r’ = 2.1 cm


Volume of conical cavity = 1/3 πr’2h’


= 1/3 × 22/7 × 2.1 × 2.1 × 4 cm3


= 18.48 cm3


Since, there are two conical cavities


Volume of two conical cavities = 2 × 18.48 cm3 = 36.96 cm3


Volume of remaining solid = Volume of solid cylinder – Volume of two conical cavity


Volume of remaining solid = 539 cm3 – 36.96 cm3


= 502.04 cm3


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