An equilateral triangle of side 12 centimeters is rotated about an altitude to form a cone. What is the number of cubic centimeters in the v

volume of cone  =  (1/3)(pi)(radius)²(height)

The height of the cone will be the same as the height of the triangle.

height  =  12 sin 60°  =  12 √3 / 2   =  6√3

The radius of the cone will be half of the base of the triangle.

radius  =  12 / 2  =  6

So..   volume of cone  =  (1/3)(pi)(6)²(6√3)   =   (1/3)(pi)(36)(6√3)  =  72 pi √3  cubic centimeters