Q10 of 227 Page 897

A spherical cannon ball 28 cm in diameter is melted and recast into a right circular conical mould, base of which is 35 cm in diameter. Find the height of the cone.

Given,


Diameter of cannon ball = 28cm


So the Radius of cannon ball = 14 cm


Volume of cannon ball = πr3 = π × 143


Radius of the cone = cm


Let the height of cone be h cm.


Volume of cone = π × h cm3


Here we have,


= π × 143 = π × h


= h = π × 14 × 14 × 14 ×


= h = 35.84 cm


Hence, the height of the cone = 35.84 cm.


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