What is the radius of the cone? The height is 12 the length is 8 and the face height is 10
To find the radius of the cone, we need to apply the Pythagorean theorem.
The height (h) and the face height (f) of the cone form a right triangle. The length of the cone (l) is the hypotenuse.
Using the Pythagorean theorem, we have:
l^2 = h^2 + r^2
where l = 8, h = 12, and f = 10.
Substituting the given values, we get:
8^2 = 12^2 + r^2
64 = 144 + r^2
r^2 = 64 - 144
r^2 = -80
Since the result is negative, the radius of the cone can't be determined. Please check the given values again, as it seems there may be an inconsistency.