3.
Step-by-step explanation:
Volume of a cone:
(where r is the radius and h is the height)
Given:
h = 16 cmr = 4 cm
Therefore, substitute into the volume formula to find the volume of the cone in terms of h:
Differentiate with respect to h:
Volume is increasing at a constant rate of 3cm/s:
Use the chain rule to find
When h = 6: