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garik1379 [7]
3 years ago
7

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 t = 400 seconds.
Mathematics
1 answer:
lord [1]3 years ago
7 0
The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second

The equation for a linear growth/decay is given by the form y=mx+c where m is the rate of increase and c is the value of y when x=0

We have 
m = 0.07 
c=36 when t=0

So the equation is r=0.07t+36

The length of the radius when t=400 seconds is
r=0.07(400)+36
r=64 inches
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