You are here:
- Home
- Teens
- Homework/Study Tips
- Calculus
- mathematics
Calculus/mathematics
Advertisement
Question
A spherical balloon is blown up so that its volume increases at a constant rate of 2cm cube per second. Find the rate of increase of the radius, when the volume of the balloon is 5cm cube.
We will assume the volume is a sphere. This makes the volume
V(t) = 4(pi)r^3(t)/3.
The derivative can be taken, so that V'(t) = 4(pi)r^2(t)r'(t).
Using V as 5, r can be solved for with the 1st equation.
Using V and r, r' can be solved for in the 1nd equation.
Related Articles
Answers by Expert:
Scotto
Expertise
Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.
Experience
Experience in the area: I have tutored students in all areas of mathematics for over 25 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
Publications
Maybe not a publication, but I have respond to well oveer 7,500 questions on the PC.
Well over 2,000 of them have been in calculus.
Education/Credentials
I aquired well over 40 hours of upper division courses. This was well over the number that were required.
I graduated with honors in both my BS and MS degree from Oregon State University.
I was allowed to jump into a few junior level courses my sophomore year.
Awards and Honors
I have been nominated as the expert of the month several times.
All of my scores right now are at least a 9.8 average (out of 10).
Past/Present Clients
My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you from all over the world.
©2012 About.com, a part of The New York Times Company. All rights reserved.