Question

How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm

Answer 1

$vol \: of \: largest \: sphere \: \\ = \frac{4}{3}\pi \times {8}^{3} \\ \\ vol \: of \: one \: small \: sphere \\ = \frac{4}{3} \pi \times 1 \\ so \\ no \: of \: spheres \: that \: can \: be \: formed \: \\ = \frac{ \frac{4}{3} \times \pi \times {8}^{3} }{ \frac{4}{3} \times \pi } \\ = {8}^{3} \\ 512$
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