Explore Volume & Density in Physics

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Volume refers to the amount of space an object occupies, while density is defined as the mass per unit volume of an object. In physics, volume is a geometric property that indicates the size of an object, whereas density provides insight into how much matter is contained within that volume. For example, a steel golf ball and a styrofoam golf ball may have the same volume, but the steel ball is denser due to its greater mass. Understanding these concepts is crucial for various applications in science and engineering. Overall, volume and density are fundamental properties that help describe the physical characteristics of materials.
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What is Volume and Density

What is Volume and Density? I know these are a simple terms in mathematics but what roles do they play in physics.
 
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Hmm...

Volume is the amount of space an object occupies.

Density is the amount of mass per unit volume. For example, rocks have more mass in a certain volume than styrofoam, so the rock is denser.

I don't know what else to say!
 
Volume is a purely geometric property. It is basically a measure of the "size" of an object.

Density involves mass also (which can be a big can of worms, but let's keep it simple for now). It basically tells you how much matter you have in a given unit of volume.

For instance, imagine a golf ball made of styrofoam, and an identically-sized ball made of steel. They have the same size (i.e., the same volume), but one has much more matter... steel give you more kilograms per golf ball (i.e., it has a higher density).
 
comparing a flat solar panel of area 2π r² and a hemisphere of the same area, the hemispherical solar panel would only occupy the area π r² of while the flat panel would occupy an entire 2π r² of land. wouldn't the hemispherical version have the same area of panel exposed to the sun, occupy less land space and can therefore increase the number of panels one land can have fitted? this would increase the power output proportionally as well. when I searched it up I wasn't satisfied with...
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