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this is a question from HC Verma. I could solve it but am doubtful of my method. Here it is: A cube 4 cm is kept in a EMPTY cylinder of radius 3cm. Assuming the cube melts equally from all sides, find the length of the cube when it just leaves contact from the block.

this is a question from HC Verma. I could solve it but am doubtful of my method. Here it is:
A cube 4 cm is kept in a EMPTY cylinder of radius 3cm. Assuming the cube melts equally from all sides, find the length of the cube when it just leaves contact from the block.

Grade:9

2 Answers

nipun gupta
16 Points
10 years ago

leaves contact with the cylinder. sorry.Embarassed

Devesh Lall
35 Points
10 years ago

SOLUTION TO YOUR QUESTION :-

Let x be the edge of ice block.

When it just leaves the contact from the bottom of the cylinder then let h is the height of water melted from ice.

Since we know that :-

W=U

=> (x)cube X p(ice) X g = (x)sq X h X p(water) X g

Again volume of water formed from melting of ice is given by:-

(4)cube - (x)cube = pie X (r)sq X h - (x)sq X h (because amount of water =[pie X (r)sq - (x)sq]h)

=> 64- (x)cube = 9pie X h - (x)sq X h

Putting h = 0.9x

=> x = 2.26cm 

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