The volume of a 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 the balloon after t seconds.
Given:
Volume V
⇒ (constant)
⇒
⇒
⇒
For t = 0, r = 3 and for t = 3, r = 6, So, we have,
⇒
⇒
⇒
So after t seconds the radius of the balloon will be,
⇒
⇒
⇒
⇒
⇒
Hence, radius of the balloon as a function of time is