Final answer:
To find the volume of the solid cut from the thick-walled cylinder, calculate the volume of the cylinder using V = πr²h, and then find the difference between the volumes of the outer and inner cylinders.
Step-by-step explanation:
To find the volume of the solid cut from the thick-walled cylinder, we first need to calculate the volume of the cylinder itself using the formula V = πr²h. Given that the radius (r) is 0.75 cm and the height (h) is 5.25 cm, we can substitute these values into the formula to find that the volume of the cylinder is approximately 9.278 cm³.
Now, to find the volume of the solid cut from the thick-walled cylinder, we need to determine the volume of the outer cylinder and subtract the volume of the inner cylinder. Since the inner cylinder's radius is not provided, I cannot provide an exact solution. However, you can calculate the volume of the outer cylinder using the formula V = πR²h, where R is the outer cylinder's radius, and subtract the volume of the inner cylinder by calculating its volume using the formula V = πr²h, where r is the inner cylinder's radius. The difference between these two volumes will give you the volume of the solid cut from the thick-walled cylinder.