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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2007 12:29:43 IST
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problem- iron ball with redius 10 cm and coated with ice and melting rate of ice 50cm3/min so when the thinkness of ice 5 cm then the rate of decreses is how much
find the rate of melting when thinkness is 5 cm
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28 Mar 2007 12:36:49 IST
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is the anwer 5cm^2/min?
if yes,plz reply.........
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4 Apr 2007 15:30:04 IST
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Suppose at any instant the coating of ice has outer radius r.
Volume of ice, V = (4 /3)(r3 - 103)
Differentiating this equation wrt time.
dV/dt = d[(4/3)(r3 - 103)]/dt = 4r2.(dr/dt)
Now you can find rate of change at different outer radii.
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Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur
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