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

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

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Yiming Zhang

Numerade Educator

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

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 4

Work

Missouri State University

University of Michigan - Ann Arbor

Boston College

Lectures

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…

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.

View More Answers From This Book

Find Another Textbook

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 30.25In 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…