The volume V (in cubic meters) of the hot-air balloon described in Problem 65 is given by V(r) = 4/3πr³. If the radius r is the same function of at as in Problem 65, find the volume V as a function of the time I.

Data from problem 65

Surface Area of a Balloon The surface area S (in square meters) of a hot-air balloon is given by

S(r) = 4πr²

where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula r(t) = 2/3t³, t ≥ 0, find the surface area S of the balloon as a function of the time I.