1. The problem is to draw a combined figure of a cylinder and a cone. 2. A cylinder is a 3D shape with two parallel circular bases connected by a curved surface. 3. A cone is a 3D shape with a circular base and a single vertex opposite the base. 4. To combine them, place the cone on top of the cylinder so that the base of the cone matches the top base of the cylinder. 5. The combined figure looks like a cylinder with a cone sitting on its top circular face. 6. The mathematical representation of the cylinder's base is $x^2 + y^2 = r^2$ and the cone's base is the same circle. 7. The height of the cylinder is $h_1$ and the height of the cone is $h_2$. 8. The combined figure can be described by the union of the cylinder and cone volumes. 9. This is a common shape in geometry and engineering, often seen in tanks with conical roofs.