Q58 of 227 Page 917

The diameter of the base of a cone is 42 cm and its volume is 12936 cm3. Its height is

Given: Diameter of the base of a cone is 42 cm.


Volume of the cone is 12936 cm3.


Volume of the cone is given by: × π × r2 × h


∴ × π × r2 × h = 12936


⇒ × π × ()2 × h = 12936 (here diameter = 42cm, ∴ r = = 21)


⇒ × π × (21)2 × h = 12936


⇒ h = = 28cm


∴ Height of the given cone is 28cm

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