A spherical solid material of radius 18 cm is melted and recast into t

1.	A spherical solid material of radius 18 cm is melted and recast into three small solid spherical spheres of different sizes. If the radii of two spheres are 2cm and 12 cm, find the radius of the third sphere
Answer» Big sphere: r = 18cm Vol = 4/3πr³ = 4/322/7181818 = 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 Like my answer if you find it useful!

A spherical solid material of radius 18 cm is melted and recast into three small solid spherical spheres of different sizes. If the radii of two spheres are 2cm and 12 cm, find the radius of the third sphere

Answer»

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

Like my answer if you find it useful!