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13y ago

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A dekaliter is a unit of volume and does not weigh anything on its own. It is equal to 10 liters of volume.


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How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?

I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.


What is equal to the volume of water an object displaces?

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What does gallon mean in math terms?

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High volume and low mass result in low density because density is calculated by dividing mass by volume. When the mass is low compared to the volume, the density will also be low because there is less mass per unit of volume.


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Density is equal to mass per volume.