Respuesta :

Answer:

The answer is option 5.

Step-by-step explanation:

The formula is V = 1/3×π×r²×h where r represnt radius and h is height. Given that the diameter of cone is 8 inches so the radius is 4 inches then substitute the value into the formula :

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

Let r = 4,

Let h = 12,

[tex]v = \frac{1}{3} \times \pi \times {4}^{2} \times 12[/tex]

[tex]v = \frac{( {4}^{2}\pi)12 }{3} [/tex]