Final answer:
The slant height of a cone can be found using the Pythagorean Theorem. Assuming the radius is 5 meters and the height is 10 meters, the slant height is approximately 11.18 meters.
Step-by-step explanation:
The slant height of a cone can be found using the Pythagorean Theorem. The slant height is the hypotenuse of a right triangle formed by the height of the cone and the radius of the base. The radius is half the diameter, so if we assume the radius is 5 meters, then the height of the cone is the other leg of the right triangle. Using the Pythagorean Theorem, we can find the slant height:
Slant height2 = radius2 + height2
Slant height2 = 52 + 102 = 25 + 100 = 125
Slant height = √125 = 11.18 meters