### Present Remotely

Send the link below via email or IM

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

You can change this under Settings & Account at any time.

# Math!

No description
by

## Esha Tripathi

on 10 June 2013

Report abuse

#### Transcript of Math!

Timeline 2013 2009 2010 2011 2012 0 + - = 9 8 7 1 2 3 4 5 6 c Sample Problem 3. Find the volume of the solid generated by revolving the region bounded by the y-axis and the curve for 1<y<4 about the x-axis using the shell method. Sample Problem 2. Find the volume of the solid of revolution obtained by rotating the region in the first quadrant bounded by
about the y-axis. Problem Collection 1. Find the volume of the solid of revolution obtained by rotating the region under the curve of

about the x-axis on the interval 0<x<1. Anik, Crystal,
Esha, Jonathan HERE WE GO!!! Disk Washer VOLUME: DISK, WASHER, AND CYLlNDRICAL SHELLS The Disk Method is a means of calculating the volume of a solid of revolution.
If the function to be revolved is a function of x, the following integral represents the volume of the solid of revolution:

R(x) is the distance between the function and the axis of rotation. Axis of rotation is horizontal.
If the function to be revolved is a function of y, the following integral will obtain the volume of the solid of revolution:

R(y) is the distance between the function and the axis of rotation. Axis of rotation is vertical. PAY ATTENTION OR YOU WILL GET A ZERO BIGGER THAN YOUR HEAD!!!!! Shells Shell integration (cylindrical shell method) is a means of calculating the volume of a solid of revolution when integrating along an axis parallel to the axis of revolution. In this method a part of the graph of a function is rotated around an axis, and is modeled by an infinite number of hollow "strips" all infinitely thin. To calculate the volume when the rotation is around the x-axis the equation is such:

However if the rotation is around the y-axis (vertical axis of revolution) the equation is as follows: 0 Sample 4. Find the volume of the solid obtained by rotating the region below the graph of