the surface area of a sphere is 576pi cm2. what will be its volume? if it is melted, how many small spheres of diameter 1cm can be made ut of it?.
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SA of sphere = 4πr2=576π
r2=576 π/ 4π = 576 / 4 =144
r =v144=12cm
vol = 4/3πr 3 = 4/3πx12^3=
2304πcm3
vol. of small sphere = 4/3πx(1/2) ^3
= π/6cm3
No. of spheres obtained =
2304πx6/π = I3824. Ans
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