Question

1. find the slant height of the cone.

Explanation:

Step1: Identify cone radius and height

Radius $r = 5$ m (half of 10 m), height $h = 12$ m

Step2: Apply Pythagorean theorem for slant height $l$

$l = \sqrt{r^2 + h^2} = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$ m

Answer:

13 m