[tex]\begin{gathered} \text{Volume of the hemispherical part = }\frac{2}{3}\pi r^3 \\ =\frac{2}{3}\text{ x 3.14 x 3 x3 x 3 =} \\ =56.52\operatorname{cm}^3^{} \end{gathered}[/tex][tex]\begin{gathered} \text{Volume of the cylindrical part = }\pi r^2h \\ \text{Height of the cyclinder = 16cm -5cm -3cm = 8cm} \\ \text{Volume = 3.14 x 3 x 3 x 8 = 226.08cm}^3 \end{gathered}[/tex][tex]\begin{gathered} \text{Volume of the conical part = }\frac{1}{3}\text{ x }\pi\text{ x r x r x h} \\ =\frac{1}{3}\text{ x 3.14 x 3 x 3 x 5} \\ =47.1\operatorname{cm}^3 \end{gathered}[/tex][tex]\begin{gathered} \text{Volume of the shape = 56.52cm}^3+226.08\operatorname{cm}^3+47.1\operatorname{cm}=329.7cm^3 \\ =329.70cm^3\text{ ( nearest hundredth)} \end{gathered}[/tex]
