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A cylindrical vessel having diameter equal to its height is full of water which is poured into two identical cylindrical vessels with diameter 42cm and height 21cm which are filled completely. Find the diameter of cylindrical vessel?

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Given that diameter is equal to height of a cylinder

So, h =  2r

Diameter = 42cm 

Height = 21cm 

Diameter (d) = 2r

2r = 42

r = 21

Radius = 21cm

Volume of vessel = π(21)2 x 21   ..........(2)

Since volumes are equal

Equating (1) and (2)

Radius of cylindrical vessel = 21cm 

Diameter of cylindrical vessel = 42cm.

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