To find the slant height of a right circular cone, you can use the Pythagorean theorem. The formula for the slant height (l) is:
l = √(r² + h²)
where r is the radius of the base, and h is the height of the cone. In this case, the radius r is 3 cm, and the height h is 5 cm.
Now, let’s plug in the values:
l = √(3² + 5²)
l = √(9 + 25)
l = √34
Calculating this gives us the slant height:
l ≈ 5.83 cm
So, the slant height of the cone is approximately 5.83 cm.