the diameter of internal and external surfaces of a hollow sphere are 10cm and 6cm respectively. if it is melted and recast into a solid cylinder of length of 8/3cm .find the diameter of cylinder
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Let the radius of base of the cylinder be 'r'cm.
So, Volume of meltallic solid cylinder of height 2 2/3 cm(8/3 cm)= Volume of metal in the spherical shell
πr 2 × 8/3 = 4/3π(5 3 −3 3 )
4/3 × 3/8 (98)
r2 =49⇒r=7cm
Hence, diameter of the cylinder =14cm
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