Question

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.

Answer 1

Answer:

Slant height = $2\sqrt{10}$ = 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

$AC^2 = 2^2 + 6^2 = 4+ 36 = 40$

TAke square root on both sides

AC= $\sqrt{40} =2\sqrt{10}$