Answer: Third Option
[tex]V = 200.96\ in^3[/tex]
Step-by-step explanation:
By definition, the volume of a cone is:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
V is the volume of the cone
h is the height of the cone
r is the radius of the cone
In this case we know that:
[tex]r= 4\ in\\h= 1\ ft[/tex]
We know that in 1 ft there are 12 inches
So
[tex]h=12\ in[/tex]
Now substitute the values of h and r in the formula to obtain the volume of the cone
[tex]V = \frac{1}{3}\pi (4)^2(12)[/tex]
[tex]V = 16*4\pi[/tex]
[tex]V = 200.96\ in^3[/tex]
