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 0.02 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 t = 360 seconds.

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anonymous · Answer

If you can I want an explanation, I don't just want an answer. It'd be even better if you tell me how to do this, I'm sure my reasoning to answer it is wrong.

anonymous · Answer

Never mind, I figured it out. For anyone who wants to know, the r is constantly increasing so it's 36+.02. Just get the formula for volume of a sphere and replace that for r.