The volume of spherical balloon being inflated changes at a constant rate. If initially its radius is 3 units and after 3 seconds it is 6 units. Find the radius of balloon after t seconds.
Solution: Solution: Here, Volume is changing at a constant rate.
So, , where is a constant.
Now, Volume of a sphere,
Now, integrating both sides,
Putting values of and in (1),
So, at any time radius of the baloon will be .