Problem

Refer to the figure and find the volume generated…

02:49

Problem 26 Hard Difficulty

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_2 $ about $ BC $

Answer

$\frac{\pi}{15}$

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Video Transcript

he was like he asked me for a dollar were given a figure in the figure. There's a region of the line and we're asked to find the volume generated by rotating this region about this line. The region is right. Our two rotating this about the line. BC. What I will give you some advice you know? Now do you know what pheromones are? I was like yeah. So looking at her figure, It sounded above by the line. Why it was one and bounded on the right ID occurred. Why equals the fourth root of X. And left by the line x equals zero. Now the line you see this is the horizontal line. Why it goes one three four. Looking at the figure, we see that we get a gift type solid. So that will use the best method. Therefore we need to find the radius of our disk. Ask jake. Well this is going to be y equals 1 -5 equals you fourth root of X. Um uh It's bad. instead of volume. By the get method is high times and a girl from X equals zero two x equals one of the radius, one minus the fourth root of x squared. Yes, no, nothing you can say. And if you evaluate this in the role should get hi over 15.

Chris T.

Ohio State University

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Calculus 2 / BC

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Chapter 6

Applications of Integration

Section 2

Volumes

Problem