A spherical solid material of radius 18cm is melted and recast to three small solid spheres of different sizes if the radii of two spheres are 2cm and 12cm find the radius of the Third sphere
sagar10031:
vol of big sphere = volume of 3 sphere
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Big sphere:
r = 18cm
Vol = 4/3πr³
= 4/3*22/7*18*18*18
= 24438.8cm³
Other 3 spheres:
r₁ = 2cm
Vol = 4/3πr³ = 33.52cm³
r₂ = 12cm
Vol = 4/3πr₃ = 7241.1cm³
Vol of 3rd sphere = Vol of big sphere - vol of both small spheres
4/3πr₃³ = 24438.8 - (33.52+7241.6)
4/3πr³ = 17163
r³ = 4095.7
r = ∛4095.7
r = 34.4cm
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