Final answer:
The correct formula to calculate the volume of a cone is V = 1/3πr²h. This formula indicates that the cone's volume is one-third of the product of the base area (pi times radius squared) and the height of the cone.
Step-by-step explanation:
To find the volume of the cone, we use the formula:
V = ⅓πr²h
Where π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone. This formula gives us the volume as one-third the base area times the height.
To apply this, we can plug in the numbers:
V = ⅓ * 3.14159 * (0.750 cm)² * 5.25 cm = 9.278 cm³
However, please be aware that in practice, we often use the approximation π ≈ 3.142, as listed in the previous given example for the volume of a cylinder.
The correct choice for the volume formula of the cone from the options given is a) 1/3πr²h.