the surface area of sphere is 576pi. it's volume is 2304pi which i have found. If this sphere is melted how many spheres of diameter 1cm can be made out of it?
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surface area of a sphere of radius r = 4 * pi * r^2 = 576 * pi in this question
r = sqrt(576/4) = 12 cm. Hence, volume of the large sphere = 4/3 * pi * r^3
= 4/3 * pi * 12^3 cm^3. Volume of the small sphere each = 4/3 * pi * (1/2)^3 cm^3
Therefore the number of small spheres =
4/3 * pi * 12^3 cm^3 / 4/3 * pi * (1/2)^3 cm^3 = 24^3.
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