A Tank Can Hold 500 Litres Of Water. At Present It Is Only 30% Full. How Many Litres Of Water Shall Be Filled In The Tank, So That It Is 50% Full

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Introduction

In this article, we will explore a simple yet interesting problem involving a tank and its capacity to hold water. We will calculate the amount of water needed to fill the tank to a certain percentage. This problem is a great example of how math can be applied to real-life scenarios.

Understanding the Problem

A tank can hold 500 litres of water. Currently, it is only 30% full. We need to find out how many litres of water should be added to the tank so that it becomes 50% full.

Calculating the Current Amount of Water in the Tank

To find out the current amount of water in the tank, we need to calculate 30% of the tank's total capacity.

Current amount of water = 30% of 500 litres
= 0.3 x 500 litres
= 150 litres

Calculating the Amount of Water Needed to Reach 50% Full

To find out the amount of water needed to reach 50% full, we need to calculate 50% of the tank's total capacity.

Amount of water needed = 50% of 500 litres
= 0.5 x 500 litres
= 250 litres

However, we are not interested in the total amount of water needed to fill the tank to 50% capacity. We want to know how much water should be added to the tank to reach 50% full, given that it is already 30% full.

Calculating the Additional Amount of Water Needed

To find out the additional amount of water needed, we need to subtract the current amount of water in the tank from the amount of water needed to reach 50% full.

Additional amount of water needed = Amount of water needed - Current amount of water
= 250 litres - 150 litres
= 100 litres

Conclusion

In this article, we calculated the amount of water needed to fill a tank to 50% capacity, given that it is already 30% full. We found that an additional 100 litres of water needs to be added to the tank to reach 50% full.

Real-World Applications

This problem has many real-world applications, such as:

  • Water supply management: In a water supply system, it is essential to calculate the amount of water needed to fill a tank to a certain percentage to ensure that the water supply meets the demand.
  • Industrial processes: In industrial processes, such as chemical processing or manufacturing, it is crucial to calculate the amount of water needed to fill a tank to a certain percentage to ensure that the process runs smoothly and efficiently.
  • Agricultural practices: In agricultural practices, such as irrigation, it is essential to calculate the amount of water needed to fill a tank to a certain percentage to ensure that the crops receive the right amount of water.

Tips and Tricks

Here are some tips and tricks to help you solve similar problems:

  • Use percentages: When dealing with percentages, it is essential to use the correct formula to calculate the amount of water needed.
  • Subtract the current amount: When calculating the additional amount of water needed, subtract the current amount of water in the tank from the amount of water needed to reach the desired percentage.
  • Use real-world examples: Use real-world examples to illustrate the problem and make it more relatable.

Frequently Asked Questions

Here are some frequently asked questions related to this problem:

  • What is the current amount of water in the tank?
    • The current amount of water in the tank is 150 litres.
  • What is the amount of water needed to reach 50% full?
    • The amount of water needed to reach 50% full is 250 litres.
  • What is the additional amount of water needed to reach 50% full?
    • The additional amount of water needed to reach 50% full is 100 litres.
      A Tank Filling Problem: Calculating the Amount of Water Needed ===========================================================

Q&A: A Tank Filling Problem

Q: What is the current amount of water in the tank?

A: The current amount of water in the tank is 150 litres. This is calculated by finding 30% of the tank's total capacity, which is 500 litres.

Q: What is the amount of water needed to reach 50% full?

A: The amount of water needed to reach 50% full is 250 litres. This is calculated by finding 50% of the tank's total capacity, which is 500 litres.

Q: What is the additional amount of water needed to reach 50% full?

A: The additional amount of water needed to reach 50% full is 100 litres. This is calculated by subtracting the current amount of water in the tank (150 litres) from the amount of water needed to reach 50% full (250 litres).

Q: How do I calculate the amount of water needed to fill a tank to a certain percentage?

A: To calculate the amount of water needed to fill a tank to a certain percentage, you need to multiply the tank's total capacity by the desired percentage. For example, if you want to fill a tank that can hold 500 litres to 50%, you would multiply 500 litres by 0.5 (which is 50% expressed as a decimal).

Q: What if the tank is already partially filled with a different substance, such as oil or chemicals? How do I calculate the amount of water needed to fill the tank to a certain percentage?

A: If the tank is already partially filled with a different substance, you need to calculate the amount of the substance in the tank and subtract it from the tank's total capacity before calculating the amount of water needed to fill the tank to a certain percentage.

Q: Can I use this method to calculate the amount of water needed to fill a tank that is not a perfect cylinder or has an irregular shape?

A: While this method can be used to calculate the amount of water needed to fill a tank that is not a perfect cylinder or has an irregular shape, it may not be entirely accurate. In such cases, it is recommended to use more complex calculations or consult with a professional to ensure accuracy.

Q: What are some real-world applications of this problem?

A: This problem has many real-world applications, such as:

  • Water supply management: In a water supply system, it is essential to calculate the amount of water needed to fill a tank to a certain percentage to ensure that the water supply meets the demand.
  • Industrial processes: In industrial processes, such as chemical processing or manufacturing, it is crucial to calculate the amount of water needed to fill a tank to a certain percentage to ensure that the process runs smoothly and efficiently.
  • Agricultural practices: In agricultural practices, such as irrigation, it is essential to calculate the amount of water needed to fill a tank to a certain percentage to ensure that the crops receive the right amount of water.

Q: What are some tips and tricks to help me solve similar problems?

A: Here are some tips and tricks to help you solve similar problems:

  • Use percentages: When dealing with percentages, it is essential to use the correct formula to calculate the amount of water needed.
  • Subtract the current amount: When calculating the additional amount of water needed, subtract the current amount of water in the tank from the amount of water needed to reach the desired percentage.
  • Use real-world examples: Use real-world examples to illustrate the problem and make it more relatable.

Conclusion

In this article, we have explored a simple yet interesting problem involving a tank and its capacity to hold water. We have calculated the amount of water needed to fill the tank to a certain percentage, given that it is already partially filled. We have also discussed some real-world applications of this problem and provided some tips and tricks to help you solve similar problems.