Final answer:
To calculate the volume of the cone, we first need to find the volume of the cylinder. The volume of the cylinder is 9.278 cm³.
Step-by-step explanation:
To find the volume of the cone, we need to first find the volume of the cylinder that contains it. The formula to calculate the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the radius is 0.75 cm and the height is 5.25 cm, so plugging those values into the formula gives us a volume of 9.278 cm³.