Answer :

Let the diameter of sphere be ‘D’ and Radius of sphere be ‘R’


D = 8 m


Also, we know


R = D/2


R = 8/2


R = 4 m


Explanation: Here the volume of sphere will be equal to the volume of the resulting cylinder as the resulting cylinder is formed by melting the sphere.


Volume of the sphere, V1





Let the length/height of the cylinder be ‘H’ and let the radius of the cylinder be ‘r’ and volume of the cylinder be ‘V2


H = 12 m


Volume of the cylinder = V2 = π(r2)H


V2 = π(r2) × 12 (putting value of H)


V2 = 12π × r2 m3eqn2


Now equate equation 1 and 2,


V2 = V1








r = 2.66 m


Width of cylinder = diameter of cylinder = 2 × radius


Width of cylinder = 2 × r


Width of cylinder = 2 × 2.66


Width of cylinder = 5.32 m


Width of the resulting cylinder is 5.32 m


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