Respuesta :

Answer:

[tex]96\pi \: or \: 301.59[/tex]

rounded to the nearest hundredth

Step-by-step explanation:

use the pythagorean theorem to find the height of the cone

[tex] {a}^{2} + {6}^{2} = {10}^{2} [/tex]

you get a = 8

the formula for the volume of a cone is

[tex]\pi \:{r}^{2} \frac{h}{3} [/tex]

plug in 6 for the radius and 8 for the height. then solve