Answer: To find the radius of the cylindrical container, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
where π (pi) is a constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
We are given that the volume of the container is 12 liters, which is equivalent to 12,000 cubic centimeters (1 liter = 1000 cubic centimeters).
12 liters = 12,000 cubic centimeters
So, the volume of the cylinder is 12,000 cubic centimeters:
12,000 = π * r^2 * 0.4
Now, we can solve for the radius (r):
r^2 = 12,000 / (π * 0.4)
r^2 = 9,549.296585
r ≈ √9,549.296585
r ≈ 97.72
So, the radius of the cylindrical container is approximately 97.72 centimeters, rounded to one decimal place.