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The answer depends on the shape of the object. There are some objects whose volume you simply cannot obtain by calculation.
It depends on the solid.
There is no such thing as "volume of diameter". On the other hand, the calculation for volume depends on the type of figure, so you may want to ask another question, where you specify, for what figure you want to do the calculation.
I believe that stands for "cubed" as in width*length*depth, which gives you volume calculation.
Oh, dude, there are plenty of careers that use the mathematical formula for volume. Like architects use it to design buildings, chefs use it to measure ingredients, and even divers use it to calculate how much air they need in their tanks. So, yeah, knowing your volume formula can come in handy in more ways than you'd think.