Answer:
The volume of the prism is 6.186
Explanation:
1. The volume of a cylinder can be calculated using the formula V = πr^2h where r is the radius of the cylinder base, h is the height and π is a mathematical constant.
2. The diameter of the cylinder base is given as 19.8 cm and the base area of the cylinder is given as 307.8 cm^2.
3. The volume of the cylinder is given as 9.234 cm^3.
4. If the cylinder and the prism share the same height, the volume of the prism can be calculated by using the base area of the prism.
5. The base area of the prism is given as 196 cm^2.
6. The volume of the prism can be calculated by multiplying the base area with the height of the prism.
7. The volume of the prism is 196cm^2 * h = 6.186 cm^3
8. So the volume of the prism is 6.186 cm^3