Solve the problem.A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.07 inches per second and that r = 36 inches at time t = 0. Determine the equation that models the volume V of the balloon at time t and find the volume when  seconds.

A. V(t) = 4?(0.07t)2; 9852.03 in.3
B. V(t) = ; 275,856.97 in.3
C. V(t) = 4?(36+0.07t)2; 2,301,958.03 in.3
D. V(t) = ; 1,098,066.22 in.3


Answer: D

Mathematics

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