How Much Water Can a Weak Spherical Tank Hold Safely?

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In summary, someone asks for help with a problem involving a water tank that is a perfect sphere with an inner radius of 12m and constructed with materials that can only withstand a water pressure of 185 kilopascals. They are trying to determine how many cubic meters of water can safely be stored in the tank, rounding down to the nearest whole number. The solution would be the volume of the tank.
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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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  • #2
Isn't it just the volume of the tank?
 

FAQ: How Much Water Can a Weak Spherical Tank Hold Safely?

1. What is water pressure?

Water pressure is the force exerted by water molecules against a surface or container. It is typically measured in pounds per square inch (psi) or kilopascals (kPa).

2. How is water pressure affected by depth?

As depth increases, the weight of the water above exerts more force, resulting in an increase in water pressure. For every 10 meters of depth, water pressure increases by approximately 1 atmosphere (14.7 psi).

3. What factors influence water pressure?

Water pressure is influenced by the depth of the water, the density of the water, and the gravitational force acting on the water. Other factors such as temperature, salinity, and the presence of dissolved gases can also affect water pressure.

4. What is the relationship between water pressure and volume?

Water pressure and volume have an inverse relationship. This means that as one increases, the other decreases. For example, if you increase the volume of water in a container, the water pressure will decrease.

5. How can water pressure be measured?

Water pressure can be measured using a variety of instruments such as pressure gauges, manometers, and barometers. These devices typically work by measuring the force exerted by the water on a surface and converting it into a pressure reading.

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