Calculate Water Volume Needed for Sphere Tank

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Homework Help Overview

The discussion revolves around calculating the volume of water needed to fill a spherical tank to a specific depth. The tank has a radius of 4.5 meters, and the desired water depth is 6.5 meters. Participants are exploring how to approach the volume calculation and the conversion from cubic meters to liters.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to determine the volume of water required but expresses uncertainty about the next steps after calculating the overall volume of the tank. Some participants question specific calculations and assumptions made in the process, while others suggest showing their working to identify errors.

Discussion Status

The discussion is active, with participants sharing differing answers and seeking clarification on calculations. Some guidance has been offered regarding the need to convert cubic meters to liters, and there is an ongoing exploration of the problem without a clear consensus on the correct approach or answer.

Contextual Notes

Participants are navigating potential confusion regarding units of measurement, specifically the conversion from cubic meters to liters, and the implications of the depth of water in relation to the tank's geometry.

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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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