The functions r ft and V gr give the radius and the volume

The functions r = f(t) and V = g(r) give the radius and the volume of a commercial hot air balloon being inflated for testing. The variable t is minutes, r is in feet, and V is in cubic feet. The Inflation begins at t = 0. Enter a simplified mathematical expression that represents the given statement. Do not enter any spaces in your answer. The volume of the balloon t minutes after inflation began is ft^3.

Solution

given functions

radius r =f(t) ,where t is time in minutes

volume v=g(r)

the volume of baloon t minutes after inflation began is v =g(f(t)) ft³