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

A tank is full of water. Find the work required to pump the water out of the spout. In Exercises 25 and 26 use the fact that water weighs $ 62.5 lb/ft^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

Oregon State University

University of Nottingham

Idaho State University

Lectures

03:45

A tank is full of water. F…

04:22

05:17

01:09

A tank is full of water. …

01:24

01:05

01:07

03:46

$21-24$ A tank is full of …

08:25

$23-26$ A tank is full of …

07:29

10:39

07:38

06:27

01:59

06:53

03:24

(a) The tank shown is full…

For this problem, we first need to get a geometry of the tank, so from a side view we're going to see a triangular with height to be 6 and the length to be 12. This is the side biloftank here and he thinks gonna get the equation that this segment for this line sat l and it's simply y equals to 6 over 12 x. So that means x equals to 2 y. That'S the equation of, and we divide volume by in horizontal slices and let y i stands for the height from the bottom of the earth. Slice of the water with sickness, delly and the tignis is it's a very thick slice and the volume equals to the area times the thickness so which is given by 10 times 2 y. I times and the force exerting on this infinitesimal volume is the volume self times the weight per unit volume so which is equals to 20 y. I times times 62.5, which is equal to 11250 y. I times delay that's the force and for each slice, the distance. That'S going to travel to get a job done is the i equal to 6 minus y. I is the total length till the height of tank is 66 feet on so here we're going to set up over roots its limits in and the i go goes from. 0 to n, f, delytis red or thinks it's flung it out here, just a 1250 times y i times and we're goin to evaluate this remansit by its corresponding integral so that 0 to 6, total height 1250 y times 6 minus y record that the distance it Could travel the way and after a long calculation i'm going to have 4.5 times 10 to the 4 feet? He.

View More Answers From This Book

Find Another Textbook

02:06

how long will a train 100m long and travelling at a speed of 45 kmph, takes…

Sumit bought a plot of land for 225000 he sold 1 by 3 of the plot at a loss …

01:25

lcm of 11 , 22 , 24 , 36 by division method

03:02

If a+ ib ÷ c+ id is purely real complex number then prove that ad = bc

01:38

Nishant walked 35.567 km in a week. If he walked the same distance everyday.…

00:49

In 2015,600 out of 1600 students passed the entrance test of a school.400 ou…

01:23

9. The width of a rectangular hall is 1/2 of its length. If the area of the …

02:27

In a school, 2/15 of the students are boys and the rest are girls. If the nu…

01:49

AB is the diameter of a circle. P is a point on it such that AP = 24 cm and …