Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Find the volume generated by revolving the regions bounded by the given curves about the $x$ -axis. Use the indicated method in each case.$$y=3 \sqrt{x}, y=0, x=4 \quad(\text { disks })$$

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 3

Volumes by Integration

Oregon State University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:07

Let R be the region bounde…

01:08

Let R be the region boun…

04:33

Find the volumes of the so…

01:05

02:18

02:45

02:13

Use the shell method to fi…

01:14

Find the volume of the sol…

04:27

01:46

Use the method of cylindri…

thing with this problem is that we have the square root function but it is tripled. So it is a A vertical stretch by a factor of three. But then we also have the lines, Y equals zero, Which is why is zero then x must equal zero. Uh You know, three times zero is zero. I hope that makes sense because they also give you the bound Of X. equals four. And so as I do the disk method, as they tell me to do the disk method, uh it's pi times the function squared. Uh in terms of X because we're revolving around the X axis. So that's why my bounds are zero and four is a as I mentioned, my ex zero but also they gave us the bound of four and then it's a function that they gave us. Now if it's helpful out encourage students, especially if you're afraid of making a mistake of actually squaring it. So three times serious nine and road X times X is just X key X. So at this point you can evaluate the integral by adding one to the exponent and divide by your new exponent And do that from 0 to 4. And uh I don't know, I think students should be able to do four squared in their head of 16 divided by two is eight times nine is 72. When you subtract 00 squared? Still zero times nine half. Still 0. 72 minus zero is 72 times pi 72. Pi

View More Answers From This Book

Find Another Textbook

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…

Let R be the region bounded by the following curves. Use the disk or washer …

Let R be the region bounded by the following curves. Use the disk method t…

Find the volumes of the solids generated by revolving the regions bounded by…

Use the shell method to find the volumes of the solids generated by revolvin…

Find the volume of the solid generated by revolving each region about the $y…

Use the method of cylindrical shells to find the volume generated by rotatin…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.