Answer:
The volume of the cone:
![V\text{ = }50.24in^3](https://img.qammunity.org/2023/formulas/mathematics/high-school/r2rly1lzw6y30qphpmheg4wx8c7603jdqw.png)
Explanations:
The radius of the cone, r = 2 in
The height of the cone, h = 4 in
The volume, V, of a cone is given by the formula:
![V\text{ = }\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/college/5sdserrf6vib4mibyznoj9q8e12pp67yap.png)
Substituting r = 2, h = 4, and π = 3.14 into the formula for calculating the volume shown above:
![\begin{gathered} V=3.14\text{ }*2^2\text{ }*\text{ 4} \\ V\text{ = 3.14 }*\text{ 4 }*\text{ 4} \\ V\text{ = }50.24in^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/kwce7zmwkz72w6h9c6y1bq2qzki5a8wcub.png)