The graph of the equation [tex]\rm V = 12\pi h[/tex] is attached below and this can be determined by using the formula of volume of cone and the slope-intercept form of the line.
Given :
For cones with a radius of 6 units, the equation V=12[tex]\pi[/tex]h relates the height h of the cone, in units, and the volume V of the con, in cubic units.
The volume of the cone is given by the formula:
[tex]\rm V = \dfrac{1}{3}\pi r^2 h[/tex]
Now, substitute the value of r in the above formula.
[tex]\rm V = \dfrac{1}{3}\pi \times (6)^2 \times h[/tex]
[tex]\rm V = 12\pi h[/tex]
Now, compare this equation with a slope-intercept form which is given by:
y = mx + c
where m is the slope and c is the y-intercept.
From comparing the equation, it can be concluded that:
y = V
x = h
c = 0
m = 12[tex]\pi[/tex]
Now, draw the graph of the line that passes through the origin. The graph is attached below.
For more information, refer to the link given below:
https://brainly.com/question/20381610
