To find the equation describing the volume of water remaining at any time, we can use the given data points and the hint provided.
Let's assume the equation is of the form V = a - b(t^2), where V represents the volume of water remaining at time t.
Using the data points given, we can substitute the values for V and t into the equation and solve for the constants a and b.
Substituting the first data point (t=0, V=30000) into the equation:
30000 = a - b(0^2) => 30000 = a
Substituting the second data point (t=20, V=28800) into the equation:
28800 = 30000 - b(20^2) => 28800 = 30000 - 400b => 400b = 1200 => b = 3
Now we have the values for a and b. Thus, the equation describing the volume of water remaining at any time is:
V = 30000 - 3(t^2)