How Much Water Can a Weak Spherical Tank Hold Safely?

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To determine how much water a weak spherical tank can safely hold, one must calculate the maximum volume based on the tank's pressure limits. The inner radius of the tank is 12 meters, giving it a total volume of approximately 5,026 cubic meters. However, the tank can only withstand a pressure of 185 kilopascals, which translates to a maximum depth of water that must be calculated to avoid structural failure. After considering the pressure limits, the safe volume of water is less than the total volume of the tank. It is crucial to round down to the nearest whole number to ensure safety.
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Hey, can anyone help me with the following problem. I would greatly appreciate it

Gary D


A water tank that is a perfect sphere has an inner radius of 12m. However, it was constructed with inferior materials and the tank can only withstand a water pressure of 185 kilopascals. Assume the density of water is exactly 1000 kg/m^3 \, gravity is 9.8m/s^2, and disregard atmospheric pressure.

How many cubic meters of water can safely be stored in the tank? Round down to the nearest whole number (since rounding up could be catastrophic in this instance).
 
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Isn't it just the volume of the tank?
 

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