Final answer:
Approximately 1.16 cubes can be made from the solid metal cylinder.
Step-by-step explanation:
To find the number of 2 cm cubes that can be made from the solid metal cylinder, we need to calculate the volume of the cylinder and then divide it by the volume of one cube.
The volume of the cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height. The given dimensions provide the radius as 0.75 cm and the height as 5.25 cm. Plugging these values into the formula gives V = 3.142 x (0.75 cm)² x 5.25 cm = 9.278 cm³.
The volume of one cube is simply (2 cm)³ = 8 cm³. Dividing the volume of the cylinder by the volume of one cube gives 9.278 cm³ ÷ 8 cm³ = 1.16 cubes.
Therefore, approximately 1.16 cubes can be made from the solid metal cylinder.