A. Volume of an ellipsoid Consider the plane region bounded by the graph of the ellipse x2 1 where a > 0 and b>0 q² b2 Show that the volume of the ellipsoid formed when this region is revolved about the y - axis V = ???b ellipsoid © 2004 Encyclopædia Britannica, Inc. y² + = B. Volume of a segment of a sphere Let a sphere of radius r be cut by a plane, thereby forming a segment of height h Show that the volume of this segment is V =h² (3r – h)

Question

A. Volume of an ellipsoid
Consider the plane region bounded by the graph of the ellipse
x2
1 where a > 0 and b>0
q² b2
Show t

B. Volume of a segment of a sphere
Let a sphere of radius r be cut by a plane, thereby forming a segment of height h
Show tha

A. Volume of an ellipsoid Consider the plane region bounded by the graph of the ellipse x2 1 where a > 0 and b>0 q² b2 Show that the volume of the ellipsoid formed when this region is revolved about the y - axis V = ???b ellipsoid © 2004 Encyclopædia Britannica, Inc. y² + = B. Volume of a segment of a sphere Let a sphere of radius r be cut by a plane, thereby forming a segment of height h Show that the volume of this segment is V =h² (3r – h)

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