3 The surface area S (in square meters) of a hot-air balloon

Last updated: 8/11/2022

3 The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4x² 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) = - t20, find the surface area S of the balloon as a function of the time t. CLS S(t) = (Type an expression using t as the variable. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)