Step 1
The shape is made up of a cylinder and a cone
[tex]\begin{gathered} V=\pi r^2h---volume\text{ of cylinder} \\ V=\frac{\pi r^2h}{3}--\text{ volume of cone} \\ \pi=3 \\ r=3cm \end{gathered}[/tex]
Step 2
Find the volume of the cylinder
[tex]V_1=3\times3^2\times14[/tex][tex]V_1=378cm^3[/tex]
Find the area of the cone
[tex]V_2=\frac{3\times3^2\times5}{3}=45cm^3[/tex]
The volume of the object will be;
[tex]V=45+378=423cm^3[/tex]
