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

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This question was asked in 2001 cbse board exam. Question from RS Aggarwal book chapter volume and surface area of solid, page number 810, exercise 17B, problem number 10

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  1. Given data,

    Diameter of cannon ball = 28 cm

    Radius of the cannon ball = 14 cm

    Let h be the height of cone.

    Then

    volume of conical mould = volume of spherical cannon ball

    1/3π(35/2)2 h = 4/3π(14)3

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

    = 896/25

    = 35.84 cm.

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