The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
We know that the cylinder can hold 1 L (1000 mL) of water, and that the height is 24 cm. Converting 1 L to mL, we have:
V = 1000 mL
h = 24 cm
Substituting these values into the formula, we get:
1000 mL = πr^2(24 cm)
1000/24 = πr^2
41.67 = πr^2
r^2 = 13.29
r = √13.29
r ≈ 3.64
Therefore, the radius of the cylinder is approximately 3.64 cm (rounded to the nearest hundredth).