Final answer:
To find the container's volume, use V = 4/3 πr³ with the given radius of 18 cm. After calculation, the spherical container has a volume of 24.5 liters of water.
Step-by-step explanation:
To calculate the volume of the spherically shaped container filled with water, we use the formula for the volume of a sphere, which is V = 4/3 πr³, where π is Pi and 'r' is the radius of the sphere. Given that the radius of the container is 18 cm, we substitute this value into the formula:
V = 4/3 × 3.14 × 18³ cm³
V = 4/3 × 3.14 × 5832 cm³
V = 24476.16 cm³
Since there are 1000 cubic centimeters in a liter, we divide the volume by 1000 to convert it to liters:
Volume in liters = 24476.16 cm³ / 1000 = 24.5 liters
Therefore, the container holds 24.5 liters of water when filled.