c4 further integration: solids of revolution Watch

pluuum
Badges: 0
Rep:
?
#1
Report Thread starter 7 years ago
#1
How do I work out the volume of a solid rotated completely about the x axis when bounded by the x axis?

thank you!
0
reply
Farhan.Hanif93
Badges: 18
Rep:
?
#2
Report 7 years ago
#2
(Original post by pluuum)
How do I work out the volume of a solid rotated completely about the x axis when bounded by the x axis?

thank you!
If you take a function y=f(x) and rotate the section of it between x=a and x=b, where a < b, by 2\pi radians around the x-axis, the volume of the solid formed is given by:

V=\pi \displaystyle\int ^b_a y^2 dx.
1
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of East Anglia
    All Departments Open 13:00-17:00. Find out more about our diverse range of subject areas and career progression in the Arts & Humanities, Social Sciences, Medicine & Health Sciences, and the Sciences. Postgraduate
    Wed, 30 Jan '19
  • Aston University
    Postgraduate Open Day Postgraduate
    Wed, 30 Jan '19
  • Solent University
    Careers in maritime Undergraduate
    Sat, 2 Feb '19

Brexit: Given the chance now, would you vote leave or remain?

Remain (879)
79.91%
Leave (221)
20.09%

Watched Threads

View All