**Answer:**

The rate of change for the height of the cone is centimeters per minute.

**Step-by-step explanation:**

We derive an expression for the rate of change for the height of the cone by differentiating the volume formula given on statement:

**(1)**

Where:

- Rate of change for the volume of the cone, measured in cubic centimeters per minute.

- Radius of the cone, measured in centimeters.

- Height of the cone, measured in centimeters.

- Rate of change for the radius of the cone, measured in centimeters per minute.

- Rate of change for the height of the cone, measured in centimeters per minute.

If we know that , , , , then the rate of change for the height is:

**(2)**

Where is the volume of the cone, measured in cubic centimeters.

From **(1)**:

The rate of change for the height of the cone is centimeters per minute.