Question

integral Q. need help / pumping 1 𝑑mˆ3 air per second into a balloon. How fast increasing radius when the diameter is 20 𝑐𝑚?

Answer 1

Do you have a better picture of the equation by any chance?

Answer 2

I have in norwegian if you are interested

Answer 3

If I understand your question, you have a balloon (spherical shape I'm assuming) and we need to determine the speed the diameter grows ?

Answer 4

You'll need to find dr/dt.
dr/dt = dr/dV * dV/dt = dr/dV
Having V the volume of a sphere, you can find the reciprocal of dV/dr.
When you have dr/dt, simply replace r with 10cm.