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DA pond is modelled as a cone with its Snow melt is filling the pond at a rate of 7.5 cm per second. (i) Determine the rate at which the depth of water is increasing at the point when the radius of the pond is 50 cm. (ii) Suggest a way in which the model may have to change as the ponc gets deeper.

DA pond is modelled as a cone with its Snow melt is filling the pond at a rate of 7.5 cm per second. (i) Determine the rate at which the depth of water is increasing at the point when the radius of the pond is 50 cm. (ii) Suggest a way in which the model may have to change as the ponc gets deeper.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(ii) Find the coordinates 10 A pond is modelled as a cone with its radius and height in the ratio 2:3. Snow melt is filling the pond at a rate of 7.5 cm per second. (i) Determine the rate at which the depth of water is increasing at the point when the radius of the pond is 50 cm. (ii) Suggest a way in which the model may have to change as the pond gets deeper.
Transcribed Image Text:(ii) Find the coordinates 10 A pond is modelled as a cone with its radius and height in the ratio 2:3. Snow melt is filling the pond at a rate of 7.5 cm per second. (i) Determine the rate at which the depth of water is increasing at the point when the radius of the pond is 50 cm. (ii) Suggest a way in which the model may have to change as the pond gets deeper.
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