Question: The functions r = f(t) and V = g(r) give the radius and the volume of a commercial hot air balloon being inflated for testing.

The functions r = f(t) and V = g(r) give the radius and the volume of a commercial hot air balloon being inflated for testing. The variable t is in minutes, r is in feet, and V is in cubic feet. The inflation begins at t = 0. In each case, give a mathematical expression that represents the given statement.

The time that has elapsed when the volume of the balloon is 10,000 cubic feet.

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