By the intersecting chords theorem, you have

y
=
3
x
4
−
3
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
3
4
Y-Intercept:
−
3
Volume of cone: pi * r^2 * h/3
Given volume, height
942in^3 = 3.14 * r^2 * 9/3
942in^2 = r^2 * 9.42
Divide by 9.42
r^2 = 100, r = -10, 10
Cannot be negative so...
Solution: radius is 10 in.
The length of the radius will be 22 units.
<h3>What is the radius?</h3>
The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:

By solving the above equation we get


Hence the length of the radius will be 22 units.
To know more about radius follow
brainly.com/question/24375372