Theory and ExamplesHypervolume We have learned that is the
Chapter 15, Problem 28AAE(choose chapter or problem)
Problem 28AAE
Theory and Examples
Hypervolume We have learned that is the length of the interval on the number line (one-dimensional space), is the area of region R in the xy-plane (two-dimensional space), and is the volume of the region D in threedimensional space (xyz-space). We could continue: If Q is a region in 4-space (xyzw-space), then is the “hypervolume” of Q. Use your generalizing abilities and a Cartesian coordinate system of 4-space to find the hypervolume inside the unit 3-dimensional sphere x2 + y2 + z2 + w2 = 1.
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