To calculate the volume of the cone we use its formula and the values given.
[tex]\begin{gathered} V=\frac{\pi\cdot r^2\cdot h}{3} \\ r=\text{radio = 4/2 in= 2 in} \\ h=\text{height }=5\text{ in} \\ V=\frac{\pi\cdot(2)^2\cdot5}{3}in^3\text{ (Replacing in the equation)} \\ V=\frac{62.83}{3}in^3(\text{Multiplying)} \\ V=20.94\text{ }in^3\text{(Dividing)} \\ \text{The answer is 21 in}^3\text{ after rounding to the nearest inch. } \end{gathered}[/tex]