Method of cylinders or method of shells, Mathematics

Assignment Help:

Method of cylinders or method of shells

The formula for the area in all of the cases will be,

                                                       A = 2 ∏ ( radius ) (height )

There are some important differences among this method & the method of rings/disks that we have to note before moving on.  Firstly, rotation around a vertical axis will give an area which is a function of x and rotation around a horizontal axis will give an area which is a function of y. It is exactly opposite of the method of rings/disks.

Secondly, we don't take the total range of x or y for the limits of integration.  Rather than we take a range of x or y which will cover one side of the solid. If we expand out the radius to cover one side automatically we will expand in the other direction as well to cover the other side.

 


Related Discussions:- Method of cylinders or method of shells

Construct the finite automaton for state transition table, Construct the fi...

Construct the finite automaton for the state transition table given below. Ans: The finite automata is displayed below. The initial state is marked along with arrow sign a

Find the sum of all 3 digit numbers which leave remainder 3, Find the sum o...

Find the sum of all 3 digit numbers which leave remainder 3 when divided by 5. Ans:    103, 108..........998   a + (n-1)d = 998

Empty set, There is one final topic that we need to address as far as solut...

There is one final topic that we need to address as far as solution sets go before leaving this section. Consider the following equation and inequality.

Word problem, mark got 15.00 for his birthday he now has 27.00. how much di...

mark got 15.00 for his birthday he now has 27.00. how much did he start with

Intercepts, The last topic that we want to discuss in this section is that ...

The last topic that we want to discuss in this section is that of intercepts.  Notice that the graph in the above instance crosses the x-axis in two places & the y-axis in one plac

Mount everest is 29, Mount Everest is 29,028 ft high. Mount Kilimanjaro is ...

Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high. How much taller is Mount Everest? Subtract Mt. Kilimanjaro's height from Mt. Everest's height; 29,028 - 19

Determine the largest possible domain and inverse function, Consider the fu...

Consider the function f(x) =1/2 (2 x +2 -x ) which has the graph (a) Explain why f has no inverse function. You should include an example to support your explanation

Find out a vector that is orthogonal to the plane, A plane is illustrated b...

A plane is illustrated by any three points that are in the plane.  If a plane consists of the points P = (1, 0,0) , Q = (1,1,1) and R = (2, -1, 3) find out a vector that is orthogo

Find the length of chord ab, If PA and PB are tangents to a circle from an ...

If PA and PB are tangents to a circle from an outside point P, such that PA=10cm and ∠APB=60 o . Find the length of chord AB.

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