Question -
Answer -
Given,
The diameter of thecylinder = the height of the cylinder
⇒ h = 2r, where h –height of the cylinder and r – radius of the cylinder
We know that,
Volume of a cylinder =πr2h
So, volume of thecylindrical vessel = πr22r = 2πr3 (as h= 2r)….. (i)
Now,
Volume of eachidentical vessel = πr2h
Diameter = 42 cm, sothe radius = 21 cm
Height = 21 cm
So, the volume of twoidentical vessels = 2 x π 212 × 21 ….. (ii)
Since the volumes onequation (i) and (ii) are equal
On equating both theequations, we have
2πr3= 2 x π212 × 21
r3 =(21)3
r = 21 cm
So, d = 42 cm
Therefore, thediameter of the cylindrical vessel is 42 cm.