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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. |
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Answer» 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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