What is the height of a right circular cone. Base is 11cm slant height is 9cm and height is 12cm
The height of a right circular cone can be found using the Pythagorean theorem.
Let x be the radius of the base (which is also the distance from the center of the base to the apex of the cone). The slant height is the hypotenuse of a right triangle with the radius as one leg and the height as the other leg.
Using the Pythagorean theorem, we have:
x² + 12² = 9²
x² + 144 = 81
x² = 81 - 144
x² = -63
Since a length cannot be negative, there is no real value for x, meaning that the given measurements do not form a valid right circular cone.