James is filling an ice cream cone. the cone is 12 cm tall and has a radius of 4 cm. if the ice cream fills the cone evenly at a rate of 1.5 cm3/s, what is the rate of change of the height when the height is 5 cm? (recall that a cone with radius r and height h as volume v = 1 3 πr2h.)

Step-by-step explanation:

Since, the volume of the cone,

Where,

r = radius,

h = height,

Differentiating equation (1) with respect to t ( time ),

Since, radius and height of cone must proportional,

i.e

From equation (1),

We have,

Hence, the rate of change of the height would be cm per sec.

can you put the picture up?

step-by-step explanation:

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0