Question

The volume of spherical balloon being inflated changes at a constant rate. Ifinitially its radius is 3 units and after 3 seconds it is 6 units. Find the radius ofballoon after t seconds.

Answer 1

Step-by-step explanation:

Volume of sphere is directly proportional to radius

Now,

dtdr=kr=kt+c

Initially r=3 at t=0

3=0+cc=3r=kt+3

Now at t=3r=66=k×3+3

∴k=1r=t+3

HOPE IT HELPS YOU BRO.