1.

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»

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 or h = (4*12*50)/100 = 24 cm



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