Final answer:
To find the number of cylindrical glasses that can be filled with 12 liters of water, we can calculate the volume of each glass and then divide the total volume of water by the volume of each glass. The correct answer is none of the options listed.
Step-by-step explanation:
To find the number of cylindrical glasses that can be filled with 12 liters of water, we need to calculate the volume of each glass and then divide the total volume of water by the volume of each glass.
The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
Given that the radius of the cylindrical glasses is 4.1 centimeters and the height is 7.4 centimeters, we can substitute these values into the formula and calculate the volume of each glass.
V = 3.142 × (4.1 cm)² × 7.4 cm = 404.307 cm³
Now, we can calculate the total volume of water in liters by converting 12 liters to cubic centimeters.
1 liter = 1000 cubic centimeters, so 12 liters = 12,000 cubic centimeters.
Finally, we divide the total volume of water by the volume of each glass to find the number of glasses that can be filled.
Number of glasses = 12,000 cm³ / 404.307 cm³ = 29.67 (approx)
Since we can't have a fraction of a glass, the number of glasses that can be filled with 12 liters of water is approximately 29, which is not one of the given options.
Therefore, the correct answer is none of the options listed.