Question

A conical vessel, with base radius 5 cm and height 24 cm, is full of water. This water is emptied
into a cylindrical vessel of base radius 10 cm. Find the height to which the water will rise in the
cylindrical vessel. [Use π=22/7]

Answer 1

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Ans: 2

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Answer 2

radius of conical vessel=r1=5cm
height of conical vessel=h1=24cm
radius of cylindrical vessel=r2

let water rise upto the height h2 of the cylindrical vessel

volume of water in conical vessel = volume of water in cylindrical vessel

1/3π1rrh1=π2rrh2                       (rr means r square)

rr1h1=3rr2h2

5*5*24=3*10*10*h2                     (* means multiply)

h2=5*5*24/3*10*10
   
    =2 cm