For us to easily determine the volume of the figure, let's cut it into two pieces.
Dimension of Cone:
Radius = 9 mm
Height = 24 mm
Dimension of Cylinder:
Radius = 9 mm
Height = 18 mm
For the total volume of the figure, we will be using the following formula:
[tex]\text{ Total volume = Volume of Cone + Volume of Cylinder}[/tex][tex]\text{ Total volume = }\frac{1}{3}\pi r^2h\text{ + }\pi r^2h[/tex]
We get,
[tex]\text{ Total volume = }\frac{1}{3}\pi(9)^2(24)\text{ + }\pi(9)^2(24)[/tex][tex]\text{ = (81)(8)}\pi\text{ + (81)(24)}\pi[/tex][tex]\text{ = }648\pi\text{ + }1,944\pi[/tex][tex]\text{ Total volume = }2,592\pi mm^3[/tex]
Therefore, the answer is Choice D : 2,592 mm³
