Download the App!

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

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

When gas expands in a cylinder with radius $ r $,…

01:47

Question

Answered step-by-step

Problem 28 Hard Difficulty

Solve Exercise 24 if the tank is half full of oil that has a density of $ 900 kg/m^3 $.


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Yiming Zhang
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Yiming Zhang

Numerade Educator

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

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 4

Work

Related Topics

Applications of Integration

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Grace He
Catherine Ross

Missouri State University

Kristen Karbon

University of Michigan - Ann Arbor

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Join Course
Recommended Videos

01:06

Solve Exercise 20 if the t…

05:32

tank is is half full of ol…

08:36

A tank is is half full of …

03:24

(a) The tank shown is full…

01:04

Solve Exercise 8 assuming …

02:02

In Fig. P2.12 the tank con…

01:03

Determine the volume (in $…

02:55

Think About It Approximate…

Watch More Solved Questions in Chapter 6

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34

Video Transcript

So we first need to figure out the geometry of the setting. Here we have a sphere which is a sphere to tank and there's a little pipe. The radius of this sphere 3, and this little pipe has length 1 point. Okay, so think of the object is right there and but the pythagorean theorem. We have the distance of the coordinates of this. If this little object is x and y, and here 3, so we have x, squared plus y square, equals 9 by the pythagorean and x equals to 9 minus y squared so calculate the total work. We'Re going to fly the formula that the work equals to f d s from a to b, starting in position and f here, equal to p v times. G were pasdensity base. Volume and g is the gravity the force of the gravity, which is to 9.8 point. So we have that in this formula is goes to a from a to b, p b g times the distance called l b. S in this problem were given that t is 900, i joves 9.8 and the distance that the object is to travel. Is the total length is r plus l so which is 4 minus y y? The vertical the vertical the vertical coordinates of the object and the x is horizontal, coordinates so the distance here we could carol to distinguish the length of the pipe, so is feminus y and what is the volume? The voltumn here is simply high r squared, but r. Here is not a radius of the ball of the square; it is the radius of the slice of a circle where the object is located in. It is only an uncertain circle, so the radius here just the x, coordinate the object so which is equal to pi times 9 minus e square, so hans integral goes to 0 and negative 3 start from both square 900 times 9.8 times 4 minus y times 9. Minus y, squared and pi so integral is the y evaluating this integral can give us a roughly 8.13 pi times 10 to the 5. That'S the total work. You'Re gonna do.

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
71
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
46
Hosted by: Alonso M
See More

Related Topics

Applications of Integration

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Catherine Ross

Missouri State University

Kristen Karbon

University of Michigan - Ann Arbor

Joseph Lentino

Boston College

Recommended Videos

01:06

Solve Exercise 20 if the tank is half full of oil that has a of $900 \mathrm{kg…

05:32

tank is is half full of oll that has density of 900 kg/m FInd the work W requir…

08:36

A tank is is half full of oil that has a density of 900 kg/m3. Find the work W …

03:24

(a) The tank shown is full of water. Given that the water weighs 62.5 $\mathrm{…

01:04

Solve Exercise 8 assuming that the tank is two-thirds filled with a liquid that…

02:02

In Fig. P2.12 the tank contains water and immiscible oil at $20^{\circ} \mathrm…

01:03

Determine the volume (in $\mathrm{m}^{3}$ ) of $3045 \mathrm{~kg}$ of oil.

02:55

Think About It Approximate the depth of the water in the tank in Exercise 9 if…
Additional Mathematics Questions

07:52

Solve the 2nd order differential equation ey +2y(y ) Bi EO

02:06

Find the upper and lower suns for the region bounded by the graph of the fut…

02:31

10g2(4 - x) 1. Determine where f(x) is continuous Remember to show your work…

07:06

Given the vector valued function r(t) =t2i+(t+ 9i+6-Sk Find the curvature at…

01:12

Question 3
0.25
In an Assignment problem; if five jobs are to be perfo…

02:13

Suppose that a quiz consists of 20 True-False questions A student hasn"…

04:07

To determine how the number of housing starts is affected by mortgage rates …

00:57

Consider the following hypothesis test: Ho: p = 15 standard deviation of 5 H…

04:30

Describe the sampling distribution of Assume the size of the population is 3…

04:15

The following jobs are waiting to be processed at Rick Carlson machine cente…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started