Question

(1 point) The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is decreasing at a rate of 5 inches per second. At what rate is the volume of the cone changing when the radius is 50 inches and the height is 40 inches?

Answer 1

As we want to find the rate at which the volume changes, it means we need to differentiate the volume of cone with respect to time

Volume of Cone (V) = pi/3 * r^2 h

I solved this problem on paper and the image is attached herewith