Final answer:
The correct answer is option c) 8 cm. The center of mass of a solid hemisphere is located at a distance of 3R/8 from the flat surface, which would be 3 cm for a hemisphere with an 8 cm radius.
Step-by-step explanation:
The center of mass of a solid hemisphere is located at a distance from the flat surface that can be calculated using a standard formula derived from the principles of mechanical physics. For a solid hemisphere of radius R, the center of mass is at a distance of 3R/8 from the flat surface.
Applying this to the sphere with a radius of 8 cm, we get:
x = (3 × 8 cm) / 8
x = 3 cm
Therefore, the center of mass of a solid hemisphere of radius 8 cm is 3 cm from the center of the flat surface, which is not an option listed in the question. This might suggest a typo in the question, and it's recommended to check the question parameters or reference material again.