Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to example 4 in section 3.7). if the cup is 6 inches tall and the top has a radius of 3 inches, how fast is the water level rising when the water is 4 inches deep?

The water level rising when the water is 4 inches deep is .

Step-by-step explanation:

Rate of water pouring out in the cone = R=

Height of the cup = h = 6 inches

Radius of the cup = r = 3 inches

r = h/2

Volume of the cone =

h = 4 inches

The water level rising when the water is 4 inches deep is .

4x and 6y

im not sure though

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)