A spherical cannon ball 28 cm in diameter is melted and cast into a right circular cone mould whose base is 35 cm in diameter . Find the height of the cone.
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Radius of cannon ball = 14 cm Volume of cannon ball = 4/3 πr3 = 4/3 π(14)3
Radius of Cone = 35/2 cm
Volume of Cone = 1/3 πr2 h = 1/3 π(35/2)2 h Let h be the height of the cone.
From statement: Volume of cannon ball = Volume of Cone ⇨ 4/3 π (14)3 = 1/3.
π(35/2)2 h h
= 35.84 Therefore, height of the cone is 35.84 cm.
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