Volume of a Solid with Known Cross Sections

Опубликовано: 13 Июль 2026
на канале: Mr. Oo's Math Videos
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Lesson Objective followed by...

0:09 The Base of the Solid: The Region in Quadrant I Bounded by the Graphs of y= (1/4)x^2 , y=4 , and x=0
1:08 Cross Sections Perpendicular to the y-Axis are Rectangles Whose Height is Twice the Length of Its Base in Region R
2:23 Trying to Visualize the Solid

4:10 Integration Formula: Volume = The Definite Integral of A(y) With Respect to y from y=c to y=d
4:34 We Integrate WRT y for this Example because the Cross Sections are Perpendicular to the y-Axis
4:57 Finding the Limits of Integration
5:20 Writing the Integrand

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