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