A triangle has vertices and in the -space. In cubic units, what is the difference in the volume of the solid formed by rotating the triangle about the -axis and the solid formed by rotating the triangle about the -axis?

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The Praxis Mathematics (5165 ) Exam is a test required by many states for credential candidates planning to teach mathematics at the high school level. It is a single, computer-delivered test that includes questions from two content categories.

The first content category includes Number and Quantity, Algebra, Functions and Calculus. The second content category includes Geometry, Probability and Statistics, and Discrete Mathematics.

The test consists of various question types including selected-response, numeric entry, drag-and-drop and text completion.


A triangle has vertices <img src='https://www.fatskills.com/images3/praxismath/image_017_054.png'/> and <img src='https://www.fatskills.com/images3/praxismath/image_017_055.png'/> in the <img src='https://www.fatskills.com/images3/praxismath/image_017_049.png'/>-space. In cubic units, what is the difference in the volume of the solid formed by rotating the triangle about the <img src='https://www.fatskills.com/images3/praxismath/image_017_056.png'/>-axis and the solid formed by rotating the triangle about the <img src='https://www.fatskills.com/images3/praxismath/image_017_057.png'/>-axis?