A cylindrical vessel of height 10 cm has base radius 60 cm. If a spherical vessel of equal volume has diameter d, The value of diameter (d) is _________.

60 cm

Given, height of cylindrical vessel (h) = 10 cm and radius of cylindrical vessel (r₁) = 60 cm

And, Diameter of spherical vessel = d

∴ Radius of spherical vessel (r₂) = d/2

By given condition,

Volume of cylindrical vessel = volume of spherical vessel

πr₁²h = 4/3πr₂³

⇒  (60)² × 10 = 4/3(d/2)³

⇒  d³ = 216000

∴ d = 60 cm