A spherical cannon ball, 28 cm in diameter is melted and recast into a right circular conical mould,

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asked Mar 16 in Class X Maths by aditya23 (-854 points)

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

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answered Mar 16 by muskan15 (-2,499 points)

Let h be the height of cone. Then

1/3π(35/2)2 h = 4/3π(14)3

(Because the volume of conical mould is the same as that of the spherical cannon ball)

⇒ h = 4 × 14 × 14 × 14 × 2 × 2/35 × 35

= 896/25 = 35.84 cm.

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