The distance between the point A and B is 12 inches which is the radius of the cone. Thus, The diameter of the cone will be 24 inches.
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
A right circular cone is shown.
The base of the cone is a circle with the center at point A.
The Distance from point A to point C is 16 inches.
The distance from point C to point B is 20 inches.
[tex]|BC|^2 = |AB|^2 + |AC|^2 \\\\|20|^2 = |AB|^2 + |16|^2 \\\\AB = \sqrt{400 - 256}\\\\AB = \sqrt{144} \\\\AB = 12[/tex]
Therefore, the distance between the point A and B is 12 inches which is the radius of the cone.
Thus, The diameter of the cone will be 24 inches.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ2
