To find the capacity of the larger pot, we can use the concept of similarity between the two pots. The volume of a solid object is directly proportional to the cube of its corresponding linear dimension (height, in this case) when the objects are similar.
Let's assume the capacity of the larger pot is "C" liters. We can set up a proportion based on the heights of the two pots:
(height of larger pot) / (height of smaller pot) = (capacity of larger pot) / (capacity of smaller pot)
Using the given heights and capacity:
(16 cm) / (10 cm) = C / 0.75 liters
Cross-multiplying:
16 cm * 0.75 liters = 10 cm * C
12 liters = 10 cm * C
Dividing both sides by 10 cm:
C = 12 liters / 10 cm
C = 1.2 liters
Therefore, the capacity of the larger pot is 1.2 liters.