Volume Of Cube Cuboid And Cylinder

Step 1: Understanding the Shape of the Model.
The model consists of two cones and a cylindrical part. The diameter of the model is 3 cm, which gives the radius cm. The total height of the model is 12 cm, which is the combined height of the two cones and the cylinder. The height of each cone is 2 cm.
The remaining height is the height of the cylinder. Since the total height is 12 cm and the two cones have a combined height of cm, the height of the cylinder is cm.
Step 2: Volume of a Cone.
The volume of a cone is given by the formula: For each cone, and . So, the volume of one cone is: The total volume of the two cones is: Step 3: Volume of the Cylinder.
The volume of a cylinder is given by the formula: For the cylinder, and . So, the volume of the cylinder is: Step 4: Total Volume of the Model.
The total volume of the model is the sum of the volumes of the two cones and the cylinder: Step 5: Conclusion.
Thus, the total volume of the model is .