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.

Question

nincompoop · Answer

you also have to understand that the temperature is another variable to consider.

anonymous · Answer

r(t)=0.16*t+38

V=(4/3)(pi)(r(t))^3

That is where I am going...

anonymous · Answer

V(t) = (0.16t +38)^3 * 4/3 * pi

anonymous · Answer

Volume as a function of time: V(t)

anonymous · Answer

This is my final answer:


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anonymous · Answer

What is 2,377,823,51 in^3?

anonymous · Answer

t = 280 yes, your answer is correct

anonymous · Answer

that is a huge balloon

anonymous · Answer

I know, laughing out loud ! Thank for your help :)

anonymous · Answer

I meant thank You

anonymous · Answer

No problem