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:
So, the volume of the cuboid is 1215 cubic inches.
The diameter of cylinder is 6 in. So, the radius of the cylinder is:
Volume of a cylinder is:
Where, r is the radius and h is the height.
Substituting , we get
The volume of the cylinder is 226.08 cubic inches.
Now, the volume of the composite figure is:
Therefore, the volume of the composite figure is 1441.08 cubic inches.