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This calculus video tutorial explains how to find the volume of a solid using cross sections perpendicular to the x-axis and y-axis consisting of squares, semicircles, rectangles with height three times the base, equilateral triangles, and isosceles right triangles with hypotenuse on the base of the solid and the leg on the x-y plane.  This video contains plenty of examples and practice problems including sketches of the graphs and cross sectional areas for you to master the topic.  The solutions are shown including how to evaluate the definite integral in terms of x and y.

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This calculus video tutorial explains how to find the volume of a solid using cross sections perpendicular to the x-axis and y-axis consisting of squares, semicircles, rectangles with height three times the base, equilateral triangles, and isosceles right triangles with hypotenuse on the base of the solid and the leg on the x-y plane. This video contains plenty of examples and practice problems including sketches of the graphs and cross sectional areas for you to master the topic. The solutions are shown including how to evaluate the definite integral in terms of x and y.

Comments

Anonymous

I think you did number 6 incorrect because you forgot to square the 25-x^2 when making it in terms of X.