what is the height of the right circular cone?
Slant height = 15in
Diameter= 12in
Height=14in
The height of the right circular cone can be found using the Pythagorean theorem.
In a right circular cone, the slant height, height, and radius form a right triangle.
The diameter is equal to twice the radius, so the radius is 12in/2 = 6in.
Using the Pythagorean theorem:
(6in)^2 + height^2 = (15in)^2
36in^2 + height^2 = 225in^2
height^2 = 225in^2 - 36in^2
height^2 = 189in^2
Taking the square root of both sides:
height = √189in^2
Simplifying the square root:
height ≈ 13.74in
Therefore, the height of the right circular cone is approximately 13.74in.