Friday

August 29, 2014

August 29, 2014

Posted by **Kay** on Friday, July 22, 2011 at 9:24pm.

The portion of the graph y = ex

between x = 0 and x = ln 3 is rotated around the y axis to form a container. The container is filled with water. Use n = 4 subintervals and midpoints to approximate the work required to pump all of the water out over the side of the container.(Distance is measured in meters, the density of water is 1000 kg/m3, and use 9.8 m/s2 for g.)

I know you suppose to use the method of disk to find the volume.But then I need to know the work done...

So x=ln(y)

Would it be something like

V=pi*(ln(y))^2*delta y ?

Please help, thanks

- Calculus -
**Kay**, Friday, July 22, 2011 at 9:26pmwhoops the graph is y=e^x

- Calculus -
**Anonymous**, Wednesday, October 24, 2012 at 6:07pmThe portion of the graph

y = ex

between x = 0 and x = ln 3 is rotated around the y axis to form a container. The container is filled with water. Use n = 4 subintervals and midpoints to approximate the work required to pump all of the water out over the side of the container. Give your answer in decimal form.

**Related Questions**

Math logarithms - The graph, y=lg x is rotated 90 degrees anticlockwise around ...

Calculus - The region between the graphs of x=y^2 and x=4y is rotated around the...

CALCULUS:) - The region between the graphs of x=y^2 and x=6y is rotated around ...

Calculus - The region between the graphs of x=y^2 and x=4y is rotated around the...

Calculus - The region between the graphs of x=y^2 and x=6y is rotated around the...

Calculus - This is a tough one :( The region between the graphs of x=y^2 and x=...

Calculus - The region between the graphs of x=y^(2)and x=2y is rotated around ...

Calculus - The area is bounded by y= x^3, x= 2 is rotated around the x-axis. ...

calculus - (a) Graph the parameterized curve described by x = 2sint, y = -3cost...

Calculus - find the volume generated when the ellipse x^2/9 + y^2 = 1 is rotated...