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Doss [256]
3 years ago
9

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.

Mathematics
1 answer:
velikii [3]3 years ago
7 0

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}

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