Final answer:
The volume of a cone can be found using the formula V = 1/3πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. The given formula in the question is incorrect. Using the correct formula, the volume of the cone can be calculated as approximately 9.234 cm³.
Step-by-step explanation:
To find the volume of a cone, we use the formula V = 1/3πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. In this case, the formula provided is incorrect. The correct formula for the volume of a cone is V = 1/3πr²h.
Using the given information, we have r = 0.75 cm and h = 5.25 cm. Plugging these values into the formula, we get:
V = 1/3 * 3.14 * (0.75 cm)² * 5.25 cm
V = 3.14 * (0.5625 cm²) * 5.25 cm
V ≈ 9.234 cm³