The volume V of a weather balloon with radius r is given by V(r) = 3 πr . The balloon is being inflated 3 so that the radius increases at a constant rate r(t) = 1 t + 2, where r is in meters and t is the number of seconds since 2 inflation began. a. Determine the function that represents the volume of the weather balloon in terms of time. b. Find the volume of the balloon 12 seconds after inflation begins. Round your answer to the nearest cubic meter.
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virtual disk flatten ballon v =r
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