Answer:
The height of cone is decreasing at a rate of 0.085131 inch per second.
Step-by-step explanation:
We are given the following information in the question:
The radius of a cone is decreasing at a constant rate.

The volume is decreasing at a constant rate.

Instant radius = 99 inch
Instant Volume = 525 cubic inches
We have to find the rate of change of height with respect to time.
Volume of cone =

Instant volume =

Differentiating with respect to t,

Putting all the values, we get,

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.