1.

find the numberof solid sphereeach radius 0.25cm which may be formed from a solid sphere of radius 4 cm

Answer»

Radius of small sphere (R) = 0.25cm
radius of LARGE sphere (R) = 4 cm
let the total NUMBER of small sphere FORMED = N

n*volume\ of\ small\ sphere=volume\ of\ large\ sphere\\ \\n* \frac{4}{3} \pi r^3 =\frac{4}{3} \pi R^3 \\ \\n*r^3=R^3\\ \\n= \frac{R^3}{r^3}= (\frac{R}{r})^3 \\ \\n=(\frac{4}{0.25})^3=16^3\\ \\n=\boxed{4096}


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