A. find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work.

I kind-of need more specifics here. You didn't give any dimensions, but okay. So if you notice, from the side, any cone just looks like a regular old triangle. And we can treat it like one when trying to find the slant height. Ever heard of the Pythagorean theorem? a squared plus b squared = c squared. so in this case, the hypotenuse, or c-side, will be your slant height. take the square of the distance from the circle-base's center to the apex. add that to the square of the radius of the base. Find the square root (using your calculator) of that sum, and there's your answer.

The answer would be (c)