Answer:
V = 392[tex]\pi[/tex]
Step-by-step explanation:
The volume of a cone is: V = [tex]\frac{1}{3} \pi r^{2} h[/tex]
diameter = 14 h = 24
diameter = 2r ---> r = 7
V = [tex]\frac{1}{3} \pi (7)^{2} (24)[/tex]
V = [tex]\frac{1}{3} \pi (49)(24)[/tex]
V = [tex]\frac{1}{3} \pi (1176)[/tex]
V = 392[tex]\pi[/tex]