Aconical tank has height 3 m and radius 2 m at the top. water flows in at a rate of 1.6m3/min1.6m3/min. how fast is the water level rising when it is 1.11.1 m? (if you use decimal notation, give your answer to at least four decimal places.) the speed of the water level rising is =

Step-by-step explanation:

Given that a conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 1.6m^3/min

We know in a cone the ratio of radius to height is constant equal to tangent of semivertical angle.

i.e.

Hence we get radius when height was 1.11 m is

V' = 1.6

Volume of cone = where k = 2/3

m/sec.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is