Q. 64.6( 9 Votes )

Answer :

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

∴ h = 2r

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

Volume of a cylindrical vessel = π r^{2} h

So, volume = πr^{2}(2r) = 2 π r^{3}

Volume of vessel with diameter 42 cm =

= π (21)^{3} cm^{3}

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

∴ 2 π r^{3} = 2 × π (21)^{3}

⇒ r = 21cm

∴ diameter of the cylindrical vessel = 42cm

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