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.

Slant height = = 6.32 inches

Step-by-step explanation:

The slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface (AC)

Diameter of base of cone is 4 in

Radius = diameter / 2 = 4/2 = 2 in

Hieght of the cone = 6 in

AB= 2  and BC = 6 , we need to find AC

ABC forms a right angle triangle, use pythagoren theorem

AC^2= AB^2 + BC^2

TAke square root on both sides

AC=

goog may have it for you

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)