A cylindrical ves

Given: Height of the vessel = diameter of the cylindrical vessel

∴ h = 2r

Given: water filled in the cylindrical vessel is poured in two cylindrical vessels

Volume of a cylindrical vessel = π r² h

So, volume = πr²(2r) = 2 π r³

Volume of vessel with diameter 42 cm and height 21 cm =

= π (21)³ cm³

Since cylinders are filled by water completely, so volume of large cylinder = sum of these small cylinders

∴ 2 π r³ = 2 × π (21)³

⇒ r = 21cm

∴ diameter of the cylindrical vessel = 42cm