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Simran Bhatia Grade: 11
         A cube of ice of edge 4 cm is placed in an empty cylindrical glass of inner diameter 6 cm. Assume that the ice melts uniformly from each side so that it always retains its cubical shape. Remembering that ice is lighter than water, find the length of the edge of the ice cube at the instant it just leaves contact with the bottom of the glass.
3 years ago

Answers : (2)

Kevin Nash
askIITians Faculty
332 Points
										Sol. Let x → edge of ice block
When it just leaves contact with the bottom of the glass.
h→ height of water melted from ice
W = U
⇒x3 * pice * g = x2 * h * pw * g
Again, volume of water formed, from melting of ice is given by,
43 – x3 = π * r2 * h – x2h ( because amount of water = (πr2 – x2)h)
⇒43 – x3 = π * 32 * h – x2h
Putting h = 0.9 x ⇒x = 2.26 cm

3 years ago
11 Points
Thats exactly whats in the hcv pdf solution. We expect faculties to give their own solution. Who wil join such classes which have such faculties
2 years ago
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