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

Define period, Q. Define Period, Amplitude and Phase Shift? Ans. P...

Q. Define Period, Amplitude and Phase Shift? Ans. Period, amplitude and phase shift are used when describing a sinusoidal curve The period of a function is the smallest

Quanitive thinking for decision making, two Indiana state senate candidates...

two Indiana state senate candidates must decide which city to visit the day before the november election. The same four cities are available for both candidates. These cities are l

How to solve lim 1-cos(x)/1-cos(4x) as x tends to zero, Use L''hopital''s r...

Use L''hopital''s rule  since lim X-->0  1-cos(x)/1-cos(4x)  is in the indeterminate form 0/0 when we apply the limt so by l''hoptital''s rule differentiate the numerator and den

Finite difference method, Two reservoirs of equal cross sectional areas (31...

Two reservoirs of equal cross sectional areas (315 m 2 ) and at equal elevations are connected by a pipe of length 20 m and cross sectional area 3 m 2 . The reservoir on the left (

Systems of equations revisited, Systems of Equations Revisited We requ...

Systems of Equations Revisited We require doing a quick revisit of systems of equations. Let's establish with a general system of equations. a 11 x 1 + a 12 x 2 +......

Discrete mathmatics, give an example of a relation R that is transitive whi...

give an example of a relation R that is transitive while inverse of R is not

Quick help for exam preparation, can you help me with entrance exam for uni...

can you help me with entrance exam for university ? i really need help so quick

Rates of change or instantaneous rate of change, Rates of Change or instant...

Rates of Change or instantaneous rate of change ; Now we need to look at is the rate of change problem.  It will turn out to be one of the most significant concepts . We will c

Quadratic equation, for what k, q.p. kx2-8x+k can be factored into real lin...

for what k, q.p. kx2-8x+k can be factored into real linear factors. kx2-8x+k

Class limits and class boundries, Class limits These are numerical va...

Class limits These are numerical values, which limits uq extended of a given class that is all the observations in a provided class are expected to fall in the interval which

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