The capacity of a spherical container would be the volume of the sphere. The equation for the volume of a sphere is:
Volume = 4/3 multiplied by pi, multiplied by the radius of the sphere cubed, expressed as:
V=4/3(pi)r3
If the radius (the distance from the center of the sphere to any point on its surface) is 10 centimeters, then the capacity of the spherical container would be as follows:
V = 4/3*(3.14159)103
V = 4/3*(3.14159)1000
V = 4/3*(3141.59)
V = 4188.79 centimeters cubed (it is important to include the cubed as this is a volume measurement)
So the capacity of a spherical container with a radius of 10 cm is 4188.79 cm3
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Liquefied natural gas (LNG) is carried in giant spherical containers because they can withstand the extreme low temperatures required to keep the gas in its liquid state. The spherical shape helps evenly distribute pressure, reducing stress on the container. Additionally, spherical containers have lower surface area-to-volume ratios, which minimizes heat transfer and helps maintain the LNG in its liquid form during transportation.
A sphere volume = 4/3 pi r cubed