A cone has a volume of 12 pi and a radius of two what is the height

h = 2.86

Step-by-step explanation:

Given: Cone; Volume = 12pi, raduis = 2

To find: The height

Formula:

Solution: Triple the volume amount. For this cone, the volume is 12. Multiplying the volume by 3 results in 36.

×  

Square the radius, and then divide the radius squared into the tripled volume. The cone's radius is 2. The square of 2 is 4, and 36 divided by 4 is 9.

÷

Divide the resulted amount calculated by pi, which is 3.14, to calculate the cone's height. 9 divided by pi results in 2.86.

÷

Therefore, the height of this cone is 28.6.

step-by-step :

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is