What is the length of the cone if the base is 2cm the hight 6cm and the slant 4 cm?
The slant height of a cone is the hypotenuse of a right triangle formed by the height and the radius of the base.
In this case, the height is 6 cm and the slant height is 4 cm. We can use the Pythagorean theorem to find the radius of the base:
(radius)^2 + (height)^2 = (slant height)^2
(radius)^2 + 6^2 = 4^2
(radius)^2 + 36 = 16
(radius)^2 = 16 - 36
(radius)^2 = -20
Since the square of a real number cannot be negative, it means that the given dimensions of the cone are not possible.