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**Given**

→The outer radius of solid sphere and hollow sphere are same

→So we Consider outer Radius of solid sphere and hollow sphere is R

→Volume of solid sphere = 36π cubic unit

→Volume of hollow sphere = 16π cubic unit

**To Find **

→The inner radius of the hollow sphere to the outer radius

**Assume **

→Inner radius of hollow sphere = r

**Formula **

→Volume of Solid Sphere = 4/3πR³

→Volume of Hollow Sphere = 4/3πR³ – 4/3πr³

**Now Take **

**Volume of solid sphere = 36π cubic unit**

→ 4/3πR³ = 36π

**Volume of hollow sphere = 16π cubic unit**

→ 4/3πR³ – 4/3πr³ = 16π

→36π – 4/3πr³ = 16π

→36π – 16π = 4/3πr³

→20π = 4/3πr³

→5×3 = r³

→r³ = 15

**Now Take Volume of solid sphere**

→4/3πR³ = 36π

→R³ = 27

**According to question **

→r³/R³ = 15/27

→r/R = ³√(15/27)

**Answer **

→r/R = ³**√**(15/27)