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Question

The diameter of the iron ball used for the shot -put game is 14 cm . It is melted and then a solid cylinder of height 213 cm is made . what will be the diameter of the base of the cylinder ?

A
14cm
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B
143cm
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C
28cm
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D
283cm
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Solution

The correct option is C 28cm
Volume of sphere =43πr3

r=7cm

vol. of sphere =43π(7)3=1372π3cm3 __(1)

vol of cylinder =πR2h __(2)

from eq (1) and (2)

43π(7)(7)(7)=π(R)(R)73

R=14cm

Diameter of cylinder =28cm

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