Cylinder - three dimensional spaces, Mathematics

Assignment Help:

Cylinder

The below equation is the common equation of a cylinder.

x2 /a2 + y2/b2 = 1

This is known as a cylinder whose cross section is an ellipse.  If a = b we comprise a cylinder whose cross section is a circle.  We will be dealing with those types of cylinders more than the general form thus the equation of a cylinder along with a circular cross section is,

x2 + y2 = r2

Here is a diagram of typical cylinder along with an ellipse cross section.

612_Cylinder - Three dimensional spaces.png

In the diagram the cylinder will be centered on the axis corresponding to the variable which does not appear in the equation.

 Be cautious to not confuse this with a circle.  In two dimensions it is a circle, although in three dimensions (3D) it is a cylinder.


Related Discussions:- Cylinder - three dimensional spaces

Example of developing an understanding, In class 1, the teacher had written...

In class 1, the teacher had written down the digits 0,1, ...., 9 on the board. Then she made all the children recite the corresponding number names. Finally, she made them write th

Geometyr, Lines EF and GH are graphed on this coordinate plane. Which point...

Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?

Find out the interval of validity, Without solving, find out the interval o...

Without solving, find out the interval of validity for the subsequent initial value problem. (t 2 - 9) y' + 2y = In |20 - 4t|,   y(4) = -3 Solution First, in order to u

Triangles, ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lr...

ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2

Second order differential equation, Write the subsequent 2nd order differen...

Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0  y (3) = 6  y′ (3) = -1  We can wri

What would this expression simplify to, If 3x2 is multiplied by the quantit...

If 3x2 is multiplied by the quantity 2x3y raised to the fourth power, what would this expression simplify to? The statement in the question would translate to 3x 2 (2x 3 y) 4 .

Geometry, how to find the sum of the measure of the interior angles of each...

how to find the sum of the measure of the interior angles of each convex polygon

Show that the height h of the tower, The angle of elevation of the to...

The angle of elevation of the top of a tower from a point on the same level as the foot of the tower is α. On advancing 'p' meters towards the foot of the tower, the angle of eleva

Monica, Express area of a square with sides of length 5ab as a monomial.

Express area of a square with sides of length 5ab as a monomial.

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