Question
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.
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.
Answer: Option D
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Volume of the liquid in the cylindrical vessel
= Volume of the conical vessel
= ((1/3)* (22/7)* 12 * 12 * 50) )cm3 = (22 *4 *12 * 50)/7 cm3
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)/100 = 24 cm
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