Vessel Filling Calculation with Changing Glass Capacity
The problem requires calculating the total volume of the vessel first and then determining the number of smaller glasses needed to fill the same volume. This demonstrates an inverse relationship between glass capacity and the number of glasses required.
Calculate Total Vessel Volume
The total volume of the vessel can be found by multiplying the initial number of glasses by the capacity of each initial glass.
Total Volume = (Number of initial glasses) $\times$ (Capacity of each initial glass)
Given:
- Number of initial glasses = 15
- Capacity of each initial glass = 1.5 L
Calculation:
Total Volume = 15 $\times$ 1.5 L
Total Volume = 22.5 L
Calculate New Number of Glasses
Now, we need to find how many glasses of the new capacity are required to fill the same total volume (22.5 L).
New Number of glasses = Total Volume / (Capacity of each new glass)
Given:
- Total Volume = 22.5 L
- Capacity of each new glass = 0.5 L
Calculation:
New Number of glasses = 22.5 L / 0.5 L
New Number of glasses = 45
Conclusion
Therefore, 45 glasses are required to fill the vessel if each glass has a capacity of 0.5 L.
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Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
