1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Volume of a cone using spherical coordinates with integration

  1. Jan 30, 2013 #1
    Find the volume of a cone with radius R and height H using spherical coordinates.

    so x^2 + y^2 = z^2
    x = p cos theta sin phi
    y= p sin theta sin phi
    z= p cos phi

    I found theta to be between 0 and 2 pie
    and phi to be between 0 and pie / 4.
    i don't know how to find p though. how would i do this.
  2. jcsd
  3. Jan 30, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    That does not fit the given dimensions.
    After correcting the equation for the cone, consider the coordinates of a point at the circumference at the widest part of the cone.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook