Question

approximately by what percentage does the volume of a sphere increase if it's surface area is increased 2%?

See formulas below

Answer 1

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

Answer 2

answer is 3%, how do you get it though

Answer 3

3% increase**

Answer 4

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

Answer 5

are you learning differentials...?

Answer 6

yes

Answer 7

\[\frac{ dS }{ dt } = +0.02\]

Answer 8

that is what we know

Answer 9

radius is the problem