Based on the picture, it looks like a cylinder at the bottom part and a sphere at the top.
To solve for the volume of this composite figure, let's solve the volume of each 3D shape.
Let's start with the cylinder that has a height of 32 cm and a radius of 18 cm. The volume of the cylinder can be solved using the formula below:
[tex]\begin{gathered} V=\pi r^2h \\ V=\pi(18\operatorname{cm})^2(32\operatorname{cm}) \\ V=10,368\pi^{}^{}^{} \end{gathered}[/tex]
The volume of the cylinder is 10, 368π cm³.
Next, let's solve the volume of the half-sphere. Here's the formula below.
[tex]\begin{gathered} V=\frac{4}{3}\pi r^2 \\ V=\frac{4}{3}\pi(18^{3^{}}) \\ V=7,776\pi \\ Divide\text{ the volume in two because we have a half-sphere here.} \\ V=3,888\pi \end{gathered}[/tex]
The volume of the half-sphere is 3,888π cm³.
The last step to do is add the volume of the cylinder and the half-sphere.
[tex]\begin{gathered} V=10,368\pi+3,888\pi \\ V=14,256\pi \end{gathered}[/tex]
The volume of the composite figure is 14, 256π cm³.
