The formula for the volume of a cone is given below. find the rate of change of the volume for each of the radii given below if dr/dt is 9 inches per minute and h = 24r.

v = (1/3)πr2h

a) r = 5 in

(b) r = 17 in

a)

b)

Step-by-step explanation:

Since, volume of a cone is,

Where,

r = radius,

h = height,

Here, h = 24r,

From equation (1),

Differentiating with respect to t(time),

We have,

a) r = 5 in,

The  rate of change of the volume,

b) r = 17 in,

The rate of change of volume,

i think the answer is b.

step-by-step explanation:

not 100% sure though.

i’m here for points.