SSC CHSL Model Paper 9

Question : 50 of 100

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:

Volume of the liquid in the cylindrical vessel = Volume of the conical vessel

=(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

h=({4×12×50}/{10×10})=24\cm

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