Solid of Revolution Volume Project
Requirements, Tips, and Tricks
This project requires that you create a solid of revolution from multiple equations
revolved around an axis. You have the option to work with up to 3 others but the more people
that you work with will require more functions. You have the opportunity for several extra-credit
points in this project. This guide will help you plan out, create, and help you get more than 100%
on this project. It is not a total replacement for the assignment packet; which describes what you
will explicitly be graded on.
Requirements:
____ The solid composed of 24 or more slices.
____ A poster board for presentation and to mount the Write-up.
____ A 1:1 scale graph of all of the functions used and rotated, you will be
graded on how well your solid fits the graph, or base.
____ The graph has the equations listed for each function.
____ A data table with each of the X-values and the corresponding Y-values
for each equation. Also contains the volume of each slice formed by these points.
____ The list of slices and their volumes.
____ The corresponding Riemann sum for the whole solid.
____ The theoretical volume of the solid of revolution as defined by its
definite Integral.
____ A brief description of the real world applications of your solid. What is
it like?
____ A model for each slice used and its volume equation.
____ Aesthetically pleasing layout and craftsmanship.
____ Mention the width of your slices, also called the delta-x.
Tips and Tricks:

Try to make your model look nice. You will be given extra points based on how well
made your model is.

The same goes for the poster. Extra points will be rewarded for aesthetically pleasing and
finely made projects.

Use more equations than people in your group; you will receive extra points for extra
equations.

DO NOT FORGET TO MENTION THE WIDTH OF YOUR SLICES. It is also called
the x.

The Riemann sum is an integral part of your grade, as is the Definite integral, don not
forget them.

Do not use spray paints or aerosols on your foam board, it will dissolve the Styrofoam.

Put time into this project. It is not something that is recommended to do the day before
the due date.

It is imperative that you make sure that the base of the graph is on a 1:1 scale to your
model; you will be graded down if your model does not fit your graph.

Number each slice in order to remember the order of the slices.

A skewer through the center of each slice and your model will help keep the model
centered.