Question

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.

Answer 1

Answer:

The graph in the attached figure

see the explanation

Step-by-step explanation:

we know that

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

For r=6 units

substitute

$V=\frac{1}{3}\pi (6)^{2}h$

$V=12\pi h\ units^3$

This equation represent a proportional linear equation of the form

$y=kx$

where

The constant of proportionality or slope is equal to

$k=12\pi$

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