Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis.

$ x = 2y^2 $ , $ y \ge 0 $ , $ x = 2 $ ; about $ y = 2 $

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$V=\frac{13 \pi}{3}$

03:27

Wen Zheng

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

Missouri State University

Campbell University

Idaho State University

Boston College

Lectures

02:49

Use the method of cylindri…

01:16

06:37

08:04

04:32

00:59

01:33

10:27

We know that if X is to y squared than what we have is why is one again reuse the method of cylindrical shells, which means our our is to minus y and r h is gonna be to minus two. Why square, in other words, to minus explore using why cats do wise the two minus two. Why square? Which means plugging in what we know we have to pie times two minus y times two times one minus y squared. Now we need to look at this in terms of the integral from 0 to 1 to minus y times one minus y squared, Do you? Why, I would recommend using the power rule me integrate It makes a lot easier because now what we're doing is we're increasing the exponents by one. And then we are dividing by the new exponents just like us. Which means plugging in. We have four pi times one to the fourth, which is just one minus two times one cubed, which is just again one times two on the top. One squared over two plus two times one, which gives us four pi times what's on the inside. So we end up with 13 pie over three

View More Answers From This Book

Find Another Textbook

01:25

To win at LOTTO in one state, one must correctly select 7 numbers from a col…

01:26

605Which of the following does NOT appear in the figure? A: Acute triang…

01:44

Write the simplest polynomial function with the zeros 2i,-2i, and -3; passin…

04:28

IGiven the diagram below, if the area of the shaded region is 59 inches squa…

04:20

Analyze the graph below and answer the questions that follow:Profit in t…

02:15

The right triangle below is dilated by scale factor of 5. Find the perimeter…

03:26

The diagram shows 3 identical circles inside a rectangle Each circle touches…

01:35

The two points (-3,6) and (6,0) are plotted on the grid below.Find equat…

The box plot shows information about the distribution of the amounts of mone…

06:14

The Boy Scouts collected 22 times as many pounds paper as the Girl Scouts an…