Question: Suppose that there is a cylindrical container whose height is 10 meters and whose base radius is 1 meter. The bottom of the container has

Suppose that there is a cylindrical container whose height is 10 meters and whose base radius is 1 meter. The bottom of the container has a hole, through which water leaks out at a rate (in meter cubes per minute equal to the the height of the water in the container. A pump is turned on to fill the container with water. The rate (in meter cubes per minute) at which water is pumped into the container minutes after the pump is turned on is t divided by the volume of water in the container at time t. If the height of water in the container at t = 0 is 1 meter, find a formula for the volume of water in the container at time t.

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