Volume of a Hershey Kiss

1. May 16, 2010

dude1it

Volume of a Hershey Kiss!!!

1. The problem statement, all variables and given/known data

Alright, so me and my lab partner need to use calculus to find the volume of a hershey kiss....

We will take the slope of the side, and rotate it around the x-axis by finding the integral to find the volume...only problem is, we don't know the slope equation for the hershey kiss! Any help?

We need the same diameter of the base...

2. Relevant equations

Integral equation for revolution by x axis

Need limits

3. The attempt at a solution

We need to find the slope first...

So far we found the most similar equation to be x=y^y

2. May 16, 2010

Integral

Staff Emeritus
Re: Volume of a Hershey Kiss!!!

Measure it. What is the radius of the base? How tall is it? Drawing a picture is always important.

3. May 16, 2010

dude1it

Re: Volume of a Hershey Kiss!!!

measured it, plotted points on graphing cal...looked like a straight line, not a curve

4. May 16, 2010

LCKurtz

Re: Volume of a Hershey Kiss!!!

You don't need a slope because it varies; Hershey's kisses don't look like cones.

Try modeling it with something something like this around the y=axis after scaling it properly:

$$y = 1 + (1-x)^{\frac 1 3} - x^{\frac 1 3}$$

5. May 16, 2010

dude1it

Re: Volume of a Hershey Kiss!!!

Eh I'm sorry, I meant derivative...we'll take the integral volume equation of the derivative

6. May 16, 2010

dude1it

Re: Volume of a Hershey Kiss!!!

there ... but i need it in calculus buds.

should i just use y=x^(-x) and get the integral of it with limits from .25 - 2.25.

let me know

7. May 17, 2010

LCKurtz

Re: Volume of a Hershey Kiss!!!

Just to whet your appetite, heres a picture of what this looks like if you revolve it:

[PLAIN]http://math.asu.edu/~kurtz/pix/ChocolateChip.jpg [Broken]

Last edited by a moderator: May 4, 2017