The equation is: (4/3)Pie r3
The worded equation is: Four thirds Pie multiplied by the radius cubed.
answer 2 Archimedes might have immersed the sphere in a liquid, and measured the volume that was displaced.
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It depends on how long the pipe is. 4" diameter is just the 2 dimensional measurement, therefore you would not be able to determine the volume of that pipe.
You would need to know other physical properties to be able to calculate the length. As you would need to know certain properties to be able to calculate the volume, for instance.
You cannot. Volume and weight are two different characteristics and, according to basic dimensional analysis, conversion from one to the other is not valid. If you had the density of the substance, you would be able to convert the volume to mass. But mass is not the same as weight. You would then need information about the strength of gravitational attraction at the location to convert the mass into weight.
Density is a physical property that relates an object's mass to its volume. To calculate density, you need to know the mass of the object as well. Without the mass, you can't determine the density just from the volume alone. So, in this case, I can't give you the density based solely on the volume of 100 cm3.
If you're able to get around in Calculus, then that derivation is a nice exercise in triple integration with polar coordinates. If not, then you just have to accept the formula after others have derived it. Actually, the formula was known before calculus was invented/discovered. Archimedes used the method of exhaustion to find the formula.