Given:
The diameter of cylinder is 6 in and the height of the cylinder is 8 in.
The dimensions of the cuboid are 15 in by 9 in by 9 in.
To find:
The volume of the composite figure.
Solution:
Volume of a cuboid is:
[tex]V_1=length\times breadth\times height[/tex]
[tex]V_1=15\times 9\times 9[/tex]
[tex]V_1=1215[/tex]
So, the volume of the cuboid is 1215 cubic inches.
The diameter of cylinder is 6 in. So, the radius of the cylinder is:
[tex]\dfrac{6}{2}=3\text{ inches}[/tex]
Volume of a cylinder is:
[tex]V_2=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Substituting [tex]r=3,h=8,\pi =3.14[/tex], we get
[tex]V_2=(3.14)(3)^2(8)[/tex]
[tex]V_2=(3.14)(9)(8)[/tex]
[tex]V_2=226.08[/tex]
The volume of the cylinder is 226.08 cubic inches.
Now, the volume of the composite figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=1215+226.08[/tex]
[tex]V=1441.08[/tex]
Therefore, the volume of the composite figure is 1441.08 cubic inches.
