Quick math question

[ugatennis08]

Assume that a balloon is being filled at a rate of 10pi cm^3 and that the volume of the balloon is given by 4/3pir^3 find dr/dt.

Am I right in assuming the answer is 10pi/4pi since they have already given us dv/dt and we just rearrange and solve for dr/dt

 

[p4radox]

The dimensions of your filling rate are incorrect. I assume you mean 10pi cm^3.s^(-1) ?

If so, just use the chain rule: dr/dt = dV/dt * dr/dV