Final answer:
The correct formula to calculate the volume of a cylindrical tin can with a top is πr²h, which incorporates the area of the circular base multiplied by the height of the cylinder.
Step-by-step explanation:
The volume of a cylindrical tin can with a top is best described by the formula πr²h. This formula represents the volume of a cylinder, where π (pi) is a mathematical constant approximately equal to 3.142, r is the radius of the cylinder's base, and h is the height of the cylinder. Applying this to calculate the volume gives us:
V = πr²h = 3.142 × (0.750 cm)² × 5.25 cm = 9.278 cm³
This demonstrates that the calculation of a cylinder's volume uses the area of its circular base (the πr² part) multiplied by its height (h), giving us a three-dimensional space measurement.