The radius of a cylinder is decreasing at the rate of 4 ft/min, while the height is increasing at the rate of 2 ft/min. What is the rate of change of the volume when the radius is 2 feet and the height is 6 feet?
I got -88pi ft^3/min. Is that correct?
I got -88pi ft^3/min. Is that correct?
1 Answer
Jan 26, 2018
The volume is decreasing at the rate of
Explanation:
The radius of the cylinder is
The height of the cylinder is
The volume of the cylinder is
Differentiating with respect to
The radius is
The height is