Final answer:
To find the volume of air inside a cylinder with a radius of 6cm and a height of 3.5cm, one applies the formula for the volume of a cylinder (V = πr²h), which yields a result of 395.64 cm³.
Step-by-step explanation:
The question pertains to the calculation of the volume of air inside a cylindrical container. To calculate the volume, we use the formula V = πr²h, where V represents volume, r is the radius of the cylinder, and h is its height.
Given the radius is 6cm and the height is 3.5cm, we can substitute these values into the formula:
V = π(6cm)²(3.5cm)
= π × 36 cm² × 3.5 cm
= π × 126 cm³
= 395.64 cm³ (Using π as 3.14159)
Therefore, the volume of the air inside the cylinder is 395.64 cm³.