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Question

Find the number of lead balls , each 1 cm in diameter  that can be made from a sphere of diameter  1.2 cm.


Options:
A .  1728
B .  1738
C .  1748
D .  1758
Answer: Option A

Volume of larger sphere = `(4/3 pi xx 6 xx 6 xx6) cm^3 =  288 pi cm^3`

volume of 1 small  lead ball  = `4/3 pi xx 1/2 xx 1/2 xx 1/2) cm^3 =  pi/6  cm^3`

Number of lead balls = `(288 pi xx 6/pi)` = 1728.




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