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Question

The diameters of external and internal surfaces of a hollow spherical shell are 10 cm and 6 cm respectively. If it is melted and recast into a solid cylinder of length of 223cm, find the diameter of the cylinder in cm

A
14
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B
16
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C
18
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D
20
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Solution

The correct option is A 14
Let the radius of base of the cylinder be 'r'cm. So, Volume of meltallic solid cylinder of height 223cm(83cm)= Volume of metal in the spherical shell
πr2×83=43π(5333)
r2=43×38(98)
r2=49r=7cm
Hence, diameter of the cylinder =14cm.

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