💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

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

$ \Re_3 $ about $ OC $

$\frac{2 \pi}{9}$

01:20

Wen Z.

01:12

Amrita B.

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 2

Volumes

Missouri State University

Oregon State University

Harvey Mudd College

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:49

Refer to the figure and fi…

02:16

02:36

0:00

02:51

02:47

01:50

01:54

we're getting a figure with a region in the line and we have to find the volume generated by rotating this region about this line. The region is R. three and the rotating it about the line. zero. C. Sorry? Oh see who gets the origin. Mr. Now our region has top boundaries. Y equals the portrait of X. Bottom boundaries. Y equals X. Yeah. And zero or O. C. This is the same as rotating about the Y axis. So looking at our figure, we get a washer type solid. So we'll use the washer method. Now we need to find the outer and inner radius. So the outer racialist is equal to see X equals Y minus X equals zero. Which is it's X equals Y. Oh and the inner radius going on in Wisconsin. I worked for the clinton campaign anyway. The nazis. This feels already cold news. It sucks. The news sucks now after what X equals Y. To the fourth minus zero and therefore are volume V. Is equal to pi times the integral from Y equals zero. two. White equals one of the outer radius, Y squared minus the inner radius. Why the fourth squared. Dy. Mhm. And this is a simple integral to evaluate. Once you do, you should get two Pi over nine.

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Refer to the figure and find the volume generated by rotating the given regi…