Volumes of solids of revolution - method of rings, Mathematics

Assignment Help:

Volumes of Solids of Revolution / Method of Rings

In this section we will begin looking at the volume of solid of revolution. We have to first describe just what a solid of revolution is. To get a solid of revolution we begin with a function, y = f (x ) , on an interval [a,b].

703_Volumes of Solids of Revolution.png

Then we rotate this curve around a given axis to get the surface of the solid of revolution.  For discussion let's rotate the curve around the x-axis, although it could be any vertical or horizontal axis.  Carrying out this for the curve above gives the given three dimensional region.

12_Volumes of Solids of Revolution 1.png


Related Discussions:- Volumes of solids of revolution - method of rings

Mensuration, if area of a rectangle is 27 sqmtr and it perimeter is 24 m fi...

if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#

Surface area with parametric equations, Surface Area with Parametric Equati...

Surface Area with Parametric Equations In this final section of looking at calculus applications with parametric equations we will take a look at determining the surface area o

Systematic sampling, Systematic Sampling Systematic sampling is a part ...

Systematic Sampling Systematic sampling is a part of simple random sampling in descending or ascending orders. In systematic sampling a sample is drawn according to some predet

Linear programming Special purpose of algorithm, the conclusion about stepp...

the conclusion about stepping stone method in real life situation?

How to find value in polynomial?, Example  Find the values of the ...

Example  Find the values of the given expressions. Also given that a = 2, b = 3, c = 1, and x = 2. 8a + 5bc          =       8.2

Evaluating the function at the point of limit, Calculate the value of the f...

Calculate the value of the following limit. Solution: This first time through we will employ only the properties above to calculate the limit. Firstly we will employ prop

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd