. A snowball melts in such a way that the rate of change

Chapter 3, Problem 21E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

21. A snowball melts in such a way that the rate of change in its volume is proportional to its surface area. If the snowball was initially 4 in. in diameter and after 30 min its diameter is 3 in., when will its diameter be 2 in.? Mathematically speaking, when will the snowball disappear?

Questions & Answers

QUESTION:

21. A snowball melts in such a way that the rate of change in its volume is proportional to its surface area. If the snowball was initially 4 in. in diameter and after 30 min its diameter is 3 in., when will its diameter be 2 in.? Mathematically speaking, when will the snowball disappear?

ANSWER:

SolutionIn this question we have to determine when the diameter of snowball be 2 in and when will the snowball will finally disappear. Step 1Let d be the diameter of snowball Volume = Surface area = = also it is given that Change in volume Surface area -ve sign indicates that snowball is melting.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back