RRB NTPC Mains or Stage 2 Model Paper 9 with solutions

Question : 25 of 120

Marks: +1, -0

A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel.

18 cm
22 cm
24 cm
None of these

Validate

Solution:

= [1/3× 22/7× 12 ×12 ×50] cm^3

= [{22× 4× 12 ×50} /7]cm^3.

Let the height of the liquid in the vessel be h.
Then,

22/7× 10× 10× h ={22× 4 ×12× 50}/7

or h =

[{4 ×12× 50 }/{10× 10}]=24 cm.

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