You calculate 1/3 times the base area s the height. The height should be perpendicular to the base.
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This cone has a lateral surface area of approximately 226.73cm2
The volume of this cone is 15,400 cm3
V = 49 units3
volume=pi*radius squared*height/3, where radius is the radius of the cylinder (and will be the radius of the base of the cone),and height is the lenth of the cylinder.
Find the perpendicular height from the apex to the base.The volume is one third of the base area times the perpendicluar height.