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Question
A solid sphere of radius 3 cm is melted and then cast into small spherical balls, each of diameter 0.6 cm. Find the number of small balls so obtained.
Numerical
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Solution
Radius of solid sphere = 3 cm
volume of the sphere`=4/3pir^3=4/3pixx3xx3xx3 "cm"^3`
Radius of each new ball= 0.3 cm
Volume of each new ball`= 4/3pir^3 = 4/3pixx3/10xx3/10xx3/10 "cm"^3`
Total number of balls `=(4/3pixx3xx3xx3)/(4/3pixx3/10xx3/10xx3/10) =1000`
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