For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the con, in cubic units. Sketch a gaph of this equation on the axes.

The graph of the equation 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=12h 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:

Now, substitute the value of r in the above formula.

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

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:

link

The graph in the attached figure

see the explanation

Step-by-step explanation:

we know that

The volume of the cone is equal to

For r=6 units

substitute

This equation represent a proportional linear equation of the form

where

The constant of proportionality or slope is equal to

Let

V ----> the volume of the cone (output variable or dependent variable)

h ----> the height of the cone (input variable or independent variable)

using a graphing tool

The graph in the attached figure

Remember that the value of h and the value of V cannot be a negative number

its 4 because 2 times 2 is 4, if you double the number two you get four