ANSWER
736cm³
Step-by-step explanation
To find the volume of this object, we have to find the volume of the cylinder and the volume of the cone first. The radius of the cylinder is 4cm because the diameter is 8cm, its height is 12cm. Using 3 for π,
![V_(cylinder)=\pi\cdot r^2\cdot h=3\cdot4^2cm^2\cdot12\operatorname{cm}=576cm^3]()
The height of the cone is 10cm and the radius is the same as the cylinder. Using 3 for π,
![V_(cone)=(1)/(3)\cdot\pi\cdot r^2\cdot h=(1)/(3)\cdot3\cdot4^2cm^2\cdot10\operatorname{cm}=160cm^3]()
The volume of the object is the sum of the volumes of the cylinder and the cone,
Hence, the volume of this object is 736cm³.