First find the height of the triangle using the Pythagorean theorem:
Height = √(14^2 - 7^2)
Height = √(196 - 49)
Height = √147
Height = 7 √3
Now find the volume of the cone:
Volume = PI x r^2 x H/3
Volume = 3.14 x 7^2 x 7√3/3
Volume = 621.8177 cubic cm's.
Round the answer as needed.
