What is the height of the right circular cone? It has a slant height of 9 cm a length of 11 cm and a height of 12cm
To solve for the height of the right circular cone, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the slant height in this case) is equal to the sum of the squares of the other two sides (the height and the radius).
In this case, the slant height is 9 cm, and the height is 12 cm. Let's denote the radius as r.
Using the Pythagorean theorem, we have:
r^2 + 12^2 = 9^2
Simplifying that expression:
r^2 + 144 = 81
Subtracting 144 from both sides:
r^2 = 81 - 144
r^2 = -63
Since the radius cannot be negative, there is no real solution for this equation. Therefore, the given measurements for the right circular cone are not possible.