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# Suppose the snowball in melts so that the rate of change ISBN: 9780321747730 43

## Solution for problem 22E Chapter 3.2

Fundamentals of Differential Equations | 8th Edition

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Problem 22E

Problem 22E

Problem

Suppose the snowball in Problem 21 melts so that the rate of change in its diameter is proportional to its surface area. Using the same given data, determine when its diameter will be 2 in. Mathematically speaking, when will the snowball disappear?

Step-by-Step Solution:

Solution

In this question using the data of question 21 of the textbook we have to determine when the

diameter of snowball be 2m and when will the snowball will finally disappear.

Step 1

Let D be the diameter of snowball

Volume =  Surface area = = also it is given that

Change in diameter ∝ Surface area  -ve sign indicates that snowball is melting.

Step 2 of 4

Step 3 of 4

##### ISBN: 9780321747730

The full step-by-step solution to problem: 22E from chapter: 3.2 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. The answer to “Suppose the snowball in melts so that the rate of change in its diameter is proportional to its surface area. Using the same given data, determine when its diameter will be 2 in. Mathematically speaking, when will the snowball disappear?” is broken down into a number of easy to follow steps, and 40 words. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. Since the solution to 22E from 3.2 chapter was answered, more than 320 students have viewed the full step-by-step answer. This full solution covers the following key subjects: its, snowball, diameter, mathematically, area. This expansive textbook survival guide covers 67 chapters, and 2118 solutions.

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Suppose the snowball in melts so that the rate of change