The height of the cone is 4√2 inches.
The circumference of the base of each cone will be the arc length of one of the sectors
= 2 [tex]\pi[/tex] (6) / 3
= 4 [tex]\pi[/tex] inches
So, the radius, r, of each cone (in inches) is given by :
4pi = 2 [tex]\pi[/tex] * r
4 = 2r
2 = r
Using the Pythagorean Theorem, the cone height, h, is given by :
h = √[ slant height^2 - radius^2 ]
= √ [ 6^2 - 2^2 ]
= √32
= 4√2 inches
In arithmetic, the Pythagorean theorem, or Pythagoras' theorem, is a essential relation in Euclidean geometry a few of the three facets of a right triangle. It states that the vicinity of the square whose facet is the hypotenuse is identical to the sum of the regions of the squares on the other two facets.
Learn more about Pythagorean theorem here https://brainly.com/question/343682
#SPJ4
