The solid generated by rotating the region between the branches of the hyperbola y 2 x 2 1 about the x axis is called a hyperboloid (Figure 16) Find the volume of the hyperboloid for a x a a 1 1 y a x

Question: The solid generated by rotating the region between the branches of the hyperbola y 2 x 2 = 1 about the x-axis is called

The solid generated by rotating the region between the branches of the hyperbola y²− x² = 1 about the x-axis is called a hyperboloid (Figure 16). Find the volume of the hyperboloid for −a ≤ x ≤ a.

-a 1 -1 y a -x

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