How Much Water Can a Weak Spherical Tank Hold Safely?

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GaryDevine
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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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