For this case we have that by definition, the volume of a cone is given by:
[tex]V = \frac {1} {3} \pi * r ^ 2 * h[/tex]
Where:
r: It is the radius of the cone
h: It is the height of the cone
According to the statement data we have:
[tex]r = 10 \ cm\\h = 12 \ cm[/tex]
So, the volume is:
[tex]V = \frac {1} {3} \pi * (10) ^ 2 * 12\\V = \frac {1} {3} \pi * 100 * 12\\V = \frac {1} {3} \pi * 1200\\V = 400 \pi[/tex]
Thus, the volume of the cone is: [tex]V = 400 \pi \ cm ^ 3[/tex]
Answer:
[tex]V = 400 \pi \ cm ^ 3[/tex]
