Chapter 2.8, Problem 29E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Gravel is being dumped from a conveyor belt at a rate of

To determine

**To find:**

The rate at which height of pile is increasing.

Explanation

**1. Concept:**

We can express the radius in terms of height and then replace this value in the formula of volume of cone. Then differentiate with respect to time and find the required rate.

**2. Formula:**

i. Volume of cone,

ii. Power rule of differentiation:

iii. Chain rule of differentiation:

**3. Given:**

**4. Calculations:**

It is given that diameter and height are always equal

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