Calculate Water Volume Needed for Sphere Tank

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To calculate the water volume needed for a spherical tank with a 4.5-meter radius filled to a depth of 6.5 meters, one must first determine the volume of the spherical cap formed by the water. The overall volume of the tank is in cubic meters, which must be converted to liters for practical use, as 1 cubic meter equals 1,000 liters. The initial estimate of 538.87 liters is questioned, with suggestions that the actual volume may be larger. Participants encourage showing the calculations to identify any errors in the process. Accurate volume calculations are essential for determining the correct amount of water needed for the tank.
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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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In your post how r u getting your -3 and your -1?
 
Nevermind I think I figured it out!
 
So then would my answer be 538.87 liters or 53.87 buckets of water?
 
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.
 
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 ?
 

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