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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

`2 1/3` cm is made . what will be the diameter of he base of the cylinder ?


Options:
A .  14 cm
B .  `14/3 cm`
C .  28 cm
D .  `28/3`cm
Answer: Option C

Let he radius of the cylinder be R.

Then , ` pi xx R^2 xx 7/2 =  4/3 pi xx 7 xx 7 xx 7`

`rArr       R^2 = ((4 xx 7 xx 7 xx 7)/(3) xx 3/7)`

`rArr    R^2 = 196`

`rArr   R = 14`

`:.`     Diameter  = 2R =  28 cm.



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