Final answer:
To produce 1kg of hard cheese, approximately 0.97 liters of milk are needed.
Step-by-step explanation:
To find the number of liters of milk needed to produce 1kg of hard cheese, we can use the density of milk and the density of hard cheese. The density of milk is approximately 1.03 g/mL, while the density of hard cheese is around 1.27 g/mL. Using the formula Density = Mass/Volume, we can calculate the volume of milk needed. Let's assume that the density of milk and hard cheese are constant throughout.
First, we convert 1 kg to grams, which is 1000 grams. Then, using the density equation, we can find the volume of milk needed:
Volume of milk = Mass of hard cheese / Density of milk = 1000 g / 1.03 g/mL = 970.87 mL.
Since 1 L is equal to 1000 mL, the volume of milk needed is approximately 0.97 L.