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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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Volumes Using Cross Sections - Calculus

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

Anna Ninashvili

if base is hypotenuse why in the formula did we do the non hypotenuse side lengths s/squareroot 2