# Related Rates Melting Snowball

Not what you're looking for?

A perfectly spherical snowball is melting over a cylindrical glass such that the radius of the snowball is reducing at a rate of ½ in/min. The glass has a radius of 3 in. How fast is the water level of the glass changing at the moment that the snowball's radius is 6 in?

##### Purchase this Solution

##### Solution Summary

A step-by-step solution using Calculus notation is given.

##### Solution Preview

First, consider only the snowball, which is in the shape of a sphere.

Given: in/min when r = 6 in. Find:

Volume of a sphere is

Differentiate both sides of the equation with respect to t to get

...

###### Education

- MSc, California State Polytechnic University, Pomona
- MBA, University of California, Riverside
- BSc, California State Polytechnic University, Pomona
- BSc, California State Polytechnic University, Pomona

###### Recent Feedback

- "Excellent work. Well explained."
- "Can you kindly take a look at 647530 and 647531. Thanks"
- "Thank you so very much. This is very well done and presented. I certainly appreciate your hard work. I am a novice at statistics and it is nice to know there are those out there who really do understand. Thanks again for an excellent posting. SPJ"
- "GREAT JOB!!!"
- "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Probability Quiz

Some questions on probability

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.