Calculate Water Volume Needed for Sphere Tank

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In summary, the conversation is about filling a spherical water tank with a radius of 4.5 meters and filling it to a depth of 6.5 meters in the center. It is mentioned that one bucket holds 10 liters and the question is asked how many liters are needed to fill the tank to the required depth. The person speaking is unsure of how to proceed and asks for assistance. They also mention a previous post and thread for context. Later, they provide an answer of either 538.87 liters or 53.87 buckets of water, but someone else points out that the answer should be much bigger and suggests showing their working to see where they went wrong.
  • #1
avb203796
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You have a water tank which is a sphere with a 4.5 meter radius. You want to fill the tank enough so that the water is exactly 6.5 meters deep in the center. If one bucket holds exactly 10 liters, how many liters are needed to fill the tank to the required depth? I know how to find the overall volume of the tank but I am not sure where to go from there.
 
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  • #3
In your post how r u getting your -3 and your -1?
 
  • #4
Nevermind I think I figured it out!
 
  • #5
So then would my answer be 538.87 liters or 53.87 buckets of water?
 
  • #6
avb203796 said:
So then would my answer be 538.87 liters or 53.87 buckets of water?

Sorry, I haven't worked it out myself (for your problem), I will check when I have time.
 
  • #7
My answer is very different from yours (much bigger). Also remember that when you work out the volume with the units given it's in cubic meters, not liters (you need to convert to liters).

Why don't you show your working, then I can see where you went wrong ?
 

FAQ: Calculate Water Volume Needed for Sphere Tank

How do you calculate the water volume needed for a sphere tank?

To calculate the water volume needed for a sphere tank, you will need to know the radius of the tank. The formula for calculating the volume of a sphere is 4/3 * π * r^3. Once you have the volume, you can convert it to the desired unit of measurement, such as cubic meters or gallons.

What is the formula for calculating the volume of a sphere tank?

The formula for calculating the volume of a sphere tank is 4/3 * π * r^3, where r is the radius of the tank. This formula is derived from the mathematical definition of a sphere.

Can you provide an example of calculating the water volume for a sphere tank?

Of course, let's say we have a sphere tank with a radius of 5 meters. Using the formula 4/3 * π * r^3, we can calculate the volume as 4/3 * 3.14 * 5^3 = 523.33 cubic meters. Therefore, we would need 523.33 cubic meters of water to fill the tank.

Is there any other information needed to calculate the water volume for a sphere tank?

Apart from the radius of the tank, no other information is needed to calculate the water volume. However, it is important to make sure that the tank is completely filled with water and there is no air inside, as this can affect the accuracy of the calculation.

Are there any other ways to calculate the water volume for a sphere tank?

Yes, there are a few other formulas that can be used to calculate the volume of a sphere tank, such as 1/6 * π * h^2 * (3a^2 + h^2), where h is the height of the tank and a is half of the base diameter. However, the 4/3 * π * r^3 formula is the most commonly used and accurate method for calculating the volume of a sphere tank.

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