Hey guys, I've been stuck on a problem for a while now and the more I think about it, the harder it becomes to wrap my head around it.
It goes something like this,Air is pumped into a spherical balloon at a rate of 2 cm
^{3}/s (two cubic centimetres per
second). Denote by V the volume of the balloon, r the radius of the balloon, and S the
surface area of the balloon.
(a) Find
when V = 30 cm
^{3}.
(b) Find
when V = 30 cm
^{3}.
You may need these formulas:
,
.
While I found a similar question, it dealt more with a change in radius and surface area, rather than volume. Hoping you guys can put me on the right track; I'm not sure what equation I need to find, or how to get there.
Thanks!