the top of a Sand falls at the rate of 30 ft³/min onto conical pile. The height of the pile is always &/ of the base diameter. How fast is the height changing when the pile is 17 feet high?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
the top of
a
Sand falls at the rate of 30 ft³/min onto
conical pile. The height of the
pile is always & of the base diameter.
How fast is the height changing when
the pile is 17 feet high?
Transcribed Image Text:the top of a Sand falls at the rate of 30 ft³/min onto conical pile. The height of the pile is always & of the base diameter. How fast is the height changing when the pile is 17 feet high?
Expert Solution
Step 1

Given that sands falls at the rate of 30ft3/min to form a conical pile.

Also that the height of the pile is 38 of the base diameter.

To find how fast is the height changing when pile is 12 feet high.

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