11. An cone-shaped icicle is melting at the constant rate of 5 cubic centimeters per minute. (a) Define appropriate variables and derive the related rates equation for the above situation. Do not simplify. (b) The icicle is shaped like a cone, with the height always 4 times longer than the diameter of the base. Determine how fast the height of the icicle is changing at the moment it is 4 cm long. Round only final answers to 2 decimal places.

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ISBN:9780470458365
Author:Erwin Kreyszig
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11. An cone-shaped icicle is melting at the constant rate of 5 cubic centimeters per minute.
(a) Define appropriate variables and derive the related rates equation for the above situation.
Do not simplify.
(b) The icicle is shaped like a cone, with the height always 4 times longer than the diameter
of the base. Determine how fast the height of the icicle is changing at the moment it is 4
cm long. Round only final answers to 2 decimal places.
Transcribed Image Text:11. An cone-shaped icicle is melting at the constant rate of 5 cubic centimeters per minute. (a) Define appropriate variables and derive the related rates equation for the above situation. Do not simplify. (b) The icicle is shaped like a cone, with the height always 4 times longer than the diameter of the base. Determine how fast the height of the icicle is changing at the moment it is 4 cm long. Round only final answers to 2 decimal places.
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