Answer:
Slant height = [tex]2\sqrt{10}[/tex] = 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
[tex]AC^2 = 2^2 + 6^2 = 4+ 36 = 40[/tex]
TAke square root on both sides
AC= [tex]\sqrt{40} =2\sqrt{10}[/tex]
