Sand is falling off a conveyor onto a conical pile at the rate of 15 cm/min. The base of the cone is approximately twice the altitude. Find the height of the pile if the height of the pile is changing at the rate 0.047746 cm/min.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 42AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
Question
Sand is falling off a conveyor onto a conical pile at the rate of 15 cm³/min. The base of the
cone is approximately twice the altitude. Find the height of the pile if the height of the pile is
changing at the rate 0.047746 cm/min.
Transcribed Image Text:Sand is falling off a conveyor onto a conical pile at the rate of 15 cm³/min. The base of the cone is approximately twice the altitude. Find the height of the pile if the height of the pile is changing at the rate 0.047746 cm/min.
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