## anonymous 3 years ago approximately by what percentage does the volume of a sphere increase if it's surface area is increased 2%? See formulas below

1. anonymous

$V = \frac{ 4 }{ 3 }\pi r^3$ $S = 4\pi r^2$

2. anonymous

answer is 3%, how do you get it though

3. anonymous

3% increase**

4. anonymous

what method are you estimating with? it really depends on the initial size of the sphere...

5. anonymous

are you learning differentials...?

6. anonymous

yes

7. anonymous

$\frac{ dS }{ dt } = +0.02$

8. anonymous

that is what we know

9. anonymous