Find out the surface area of the solid, Mathematics

Find out the surface area of the solid acquired by rotating y = √ (9-x2), - 2 < x < 2 about the x-axis.


The formula that we'll be using here is,

S = ∫ 2Πyds         

As we are rotating about the x-axis and we will make use of the first ds in this case since our function is in the correct form for this reason ds and we won't gain anything by solving it for x. Let us first get the derivative and the root taken care of.

Dy/dx = ½ (9-x2)- ½ (-2x)

= - x / (9-x2)½

√(1+ (dy/dx)2)

= √(1+ x2 / (9-x2))

= √(9 / 9-x2)

= 3/ √(9-x2)

Here's the integral for the surface area,

S = ∫2-2 2Πy (3/ √(9-x2)) dx

Though there is a problem. The meaning of dx here is that we shouldn't have any y's in the integral. Thus, before evaluating the integral we'll require to substitute in for y as well. After that the surface area is,

743_Find out the Surface Area of the solid.png

Posted Date: 4/12/2013 1:31:02 AM | Location : United States

Related Discussions:- Find out the surface area of the solid, Assignment Help, Ask Question on Find out the surface area of the solid, Get Answer, Expert's Help, Find out the surface area of the solid Discussions

Write discussion on Find out the surface area of the solid
Your posts are moderated
Related Questions
(3t-1)^4 (2t+1)^-4

Tom is cutting a piece of wood to form a shelf. He cut the wood to 3.5 feet, but it is too long to fit in the bookshelf he is forming. He decides to cut 0.25 feet off the board. Ho

trigonometric ratios of sum and difference of two angles

construct an isosceles triangle ABC when:base BC is 6.2 and altitude a.a

need help to write Marketing research reprot about IBM company using spss (statistical program) to analys the given data about the company and write the report according to given i

i need a step by step guide to answering simultaneous equation for gcses

what is the muttiplied number of mutttiplacation called

find the greater value of a and b so that the following even numbers are divisible by both 3 and 5 : 2ab2a

Cylindrical Coordinates - Three Dimensional Space Since with two dimensional space the standard (x, y, z) coordinate system is known as the Cartesian coordinate system.  In the