What is the height of the right circular cone? radius:6 slant height:15 height:14
We can use the Pythagorean theorem to find the height of the right circular cone.
Let's represent the radius as "r", the slant height as "s", and the height as "h".
According to the Pythagorean theorem, in a right circular cone, we have:
r^2 + h^2 = s^2
Plugging in the given values:
6^2 + h^2 = 15^2
36 + h^2 = 225
h^2 = 225 - 36
h^2 = 189
Taking the square root of both sides:
h = sqrt(189)
h ≈ 13.74
Therefore, the height of the right circular cone is approximately 13.74 units.