Question

please answer A water tank has the shape obtained by rotating the curve y = x...

please answer

A water tank has the shape obtained by rotating the curve y = x 2 , 0 ≤ x ≤ 2 about the y−axis (x and y are measured in meters). It is full of water. Find the work required to pump all of the water out of the tank. (The density of water is ρ=1000kg/m.)

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A tank is filled with liquid of density 1000 [kg/m3 ]. Its shape is obtained by...
A tank is filled with liquid of density 1000 [kg/m3 ]. Its shape is obtained by rotating the curve y =√x, 0 ≤ x ≤ 4, around the y-axis. Find the work that is required to pump all the liquid out of the tank, from the top of the tank. All the lengths are in units of meter [m]. Do not forget to use gravitational constant g = 9.8[m/s2 ].
Create a bucket by rotating around the y-axis the curve y=3ln(x-6) from y = 0 to...
Create a bucket by rotating around the y-axis the curve y=3ln(x-6) from y = 0 to y = 4. If this bucket contains a liquid with density 880 kg/m3 filled to a height of 2 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s2 for gravity.
Create a bucket by rotating around the y axis the curve y = 3 ln (...
Create a bucket by rotating around the y axis the curve y = 3 ln ( x − 6 ) from y = 0 to y = 4. If this bucket contains a liquid with density 880 kg/m3 filled to a height of 2 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s2 for gravity.
A water tank has the shape of an inverted cone with a height of 6 meters...
A water tank has the shape of an inverted cone with a height of 6 meters and a radius of 4 meters. The tank is not completely full; at its deepest point, the water is 5 meters deep. How much work is required to pump out the water? Assume the water is pumped out to the level of the top of the tank.
When we revolve the area bounded by y = x 4 , y = 4, and...
When we revolve the area bounded by y = x 4 , y = 4, and x = 0 about the y-axis, we get a volume resembling a tank. We will calculate the work required to pump fluid out of this tank given by W = R (area)(density)(distance). (a) Sketch this tank. (b) Start by calculating the area of a horizontal disk. (c) Now, find the distance we have to move this disk to get it out of the tank....
Find the area of the surface obtained by rotating the curve y = 3x3 from x...
Find the area of the surface obtained by rotating the curve y = 3x3 from x = 0 to x = 3 about the x-axis. The area is _____ square units.
Find the exact area of the surface obtained by rotating the curve about the x-axis. A.  y...
Find the exact area of the surface obtained by rotating the curve about the x-axis. A.  y = sqrt(1+ex ) , 0 ≤ x ≤ 3 B. x = 1/3(y2+2)3/2 , 4 ≤ x ≤ 5
Find the area of the surface obtained by rotating the following curve about the x axis....
Find the area of the surface obtained by rotating the following curve about the x axis. y = sin(1/2*x) 0<=x <= pi
Find the exact area of the surface obtained by rotating the curve about the x -axis....
Find the exact area of the surface obtained by rotating the curve about the x -axis. y = sin π x/ 5 , 0 ≤ x ≤ 5
Find the exact area of the surface obtained by rotating the curve x = 1-2y^2, 1...
Find the exact area of the surface obtained by rotating the curve x = 1-2y^2, 1 ≤ y ≤ 2, about x-axis.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT