Final answer:
The volume of the cylindrical jar with a radius of 7 cm and a height of 18 cm is approximately 2764.8 cubic centimeters (cm³), calculated using the volume formula for a cylinder.
Step-by-step explanation:
To calculate the volume of the jar which is in the shape of a cylinder, we can use the formula for the volume of a cylinder V = πr²h, where 'V' is the volume, 'r' is the radius, and 'h' is the height. Given the jar's inner dimensions, the radius r is 7 cm, and the height h is 18 cm. Thus, the volume V is computed as:
V = π × (7 cm)² × 18 cm
V = 3.1416 × 49 cm² × 18 cm
V = 3.1416 × 882 cm³
V ≈ 2764.8 cm³
Therefore, the approximate volume of the jar when filled to the top with jelly beans is 2764.8 cubic centimeters (cm³).