To answer this question we will use the following formula to compute the volume of a cone:
[tex]Volume=\frac{\pi\times radius^2\times height}{3}.[/tex]
From the given diagram we get that:
[tex]\begin{gathered} radius=3cm, \\ height=5cm. \end{gathered}[/tex]
Therefore the volume of the given cone is:
[tex]Volume=\frac{\pi\times(3cm)^2\times5cm}{3}.[/tex]
Simplifying the above result we get:
[tex]\begin{gathered} Volume=\frac{45\pi cm^3}{3}=15\pi cm^3 \\ \approx47.1cm^3. \end{gathered}[/tex]
Answer:
[tex]V=47.1cm^3.[/tex]
