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# You are told that the volume of an object of unknown shape is given by V = d x d, where V is the volume and d is the diameter of the sphere. Is this equation dimensionally correct?

Interesting question. The answer is that no it is not.

In order to get a volume, you need to have three things multiplied together to take account of length, width and height.

You are only multiplying two things together which would give an area.

Remember that you have a cubed index for volume, squared for area and a single dimension for a line measurement.

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