Answer:
The volume of the composite solid consisting of a cone on top of a cylinder can be calculated by adding the volume of the cylinder and the volume of the cone. The formula for the volume of a cylinder is πr²h where r is the radius of the base and h is the height of the cylinder. The formula for the volume of a cone is πr²h/3 where r is the radius of the base and h is the height of the cone.
The height of the cone in this case is 20cm, while the height and face diameter of the cylinder are 40cm and 30cm respectively. Therefore, we can calculate the radius of the cylinder as 15cm (half of its face diameter). The radius of the cone can be calculated using similar triangles as 9cm (15/40*20)
Explanation: