Download the App!

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

Question

Answered step-by-step

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

$ y = \sqrt{x} $ , $ x = 0 $ , $ y = 2 $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

01:46

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

01:54

Use the method of cylindri…

03:10

02:19

00:03

01:29

05:16

02:02

through this question, it could be helpful to draw a diagram. As you can see, the shaded area would be like right over here. R D of Axe would be like this. And we know axis of rotation is like this, which means now we have the inner radiance. Escort of Ex Outer Radius is too Now, remember, the volume for the washer is gonna be pi times out already a squared times DX minus pi times inner radius squared times D x. Okay, now that we've cleared this up, let's simplify for Pied de Jax minus pi axe dx. Okay, now we're ready to put this into the integral. Volume is pie. That's our constant. That's what's on the outside bounds or 04 four minus X is our function DX. When we integrated, we know we can use the power method, which means we increased the expletive by one divide by the new exponents. X becomes Xcor divide by two now at the point where we can plug in our bounds. Pi times princey 16 minus four squared divided by two which gives us eight pi

View More Answers From This Book

Find Another Textbook

02:10

Use the given value to evaluate each function_3 7sin(t)(a) sin(-…

03:31

X = 4cost Given parametric equations Ssint 0 < t <t. Find the Cartesia…

04:50

Consider the function below. (If an answer does not exist, enter DNE: ) {x) …

02:07

Use the matrix capabilities of graphing utility to write the matrix in reduc…

02:37

1) Use the Conjugate Zeros & Factor Theorem to find the 3rd degree polyn…

05:50

Consider f (x) defined below. (Round your answers to three decimal places ) …

05:20

Please answer both parts in detail:. Thank youlll Find an explicit formula f…

02:30

Find the missing information.Arc length 2.5 cmRadiusCentral angl…

03:18

Eval vale th ialegral Crcl vde skefch vegi 00 0 f ialegrsl. S, { e + dxdy

06:34

6 points) Consider the following information about the graph of a continuous…