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 0.16 inches per second and that r = 38 inches at time t = 0. Determine the equation that models the volume V of the balloon at time t and find the volume when t = 280 seconds.
V(t) = four pi times the product of zero point one six and t to the third power divided by three.; 1,129,910.14 in.3
V(t) = four pi times the quantity of thirty eight plus zero point one six t to the third power divided by three.; 2,377,823.53 in.3

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