Respuesta :

Answer:

179.50 [tex]in^{3}[/tex]

Step-by-step explanation:

The equation for volume of a cone is:

[tex]V=\pi *r^{2} *\frac{h}{3}[/tex]

The radius is half of the diameter so r= 3.5 in

The height is 4 times the radius so h=14

[tex]V=3.14*3.5^{2} * \frac{14}{3}[/tex]

V= 179.50 [tex]in^{3}[/tex]

Answer: 180 inch

Step-by-step explanation:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]\pi = 3.14\\diameter=7inch\\radius=\frac{d}{2}=\frac{7}{2}=3.5inch \\height = 4r=4(3.5)=14inch[/tex]

[tex]V=\frac{1}{3} (3.14)(3.5)^2(14)\\V= 179.50\\V=180inch[/tex]