Using implicit differentiation, and considering that the inflation rate is of 200 cubic feet per minute and the radius is of 5 feet, it is found that:
- The radius is increasing at a rate of 0.6366 feet per minute.
- The surface area is changing at a rate of 80 feet squared per minute.
The volume of an <u>sphere of radius r</u> is given by:

Applying <em>implicit differentiation</em>, the rate of change is given by:

For this problem:
- Inflation rate of 200 cubic feet per minute, hence

- Radius is of 5 feet, hence

Then:




The radius is increasing at a rate of 0.6366 feet per minute.
The surface area is:

Hence, the <em>rate of change</em> is:

Hence:

The surface area is changing at a rate of 80 feet squared per minute.
A similar problem is given at brainly.com/question/9543179
Answer:
A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000. When ticket prices were lowered to 8, the average attendance rose to 33,000
Explanation:
Answer:
by not rageing or geting mad at the othor team.
Explanation: