Answer: Third Option
![V = 200.96\ in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b11tfycdkobmn86nz1qyrq9qor1z3beseh.png)
Explanation:
By definition, the volume of a cone is:
![V = (1)/(3)\pi r^2h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dy6lwuzfvkafic9pzrkw6qlrbwb71k5579.png)
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:
![r= 4\ in\\h= 1\ ft](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bc0sbkehjnee7f63c5yf7ipcbg36gvkbq3.png)
We know that in 1 ft there are 12 inches
So
![h=12\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qudngenixrvgx0bmua85jm5m17ztuztnys.png)
Now substitute the values of h and r in the formula to obtain the volume of the cone
![V = (1)/(3)\pi (4)^2(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qwzziezben8edgrxc6vyonnn1dmv9je679.png)
![V = 16*4\pi](https://img.qammunity.org/2020/formulas/mathematics/middle-school/d79gc0rdymalsqk5sm6ue89tgtmhol27jo.png)
![V = 200.96\ in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b11tfycdkobmn86nz1qyrq9qor1z3beseh.png)