1. The problem statement, all variables and given/known data Can anyone help me with the volume of a 2-sphere in rect cordinates? I'm having problems with the limits of the triple integral. Ultimately I will need to go beyond the 2-sphere to a 3 and 4 using quadruple and five integrals respectively. Radius at r from 0 vector. 2. Relevant equations x^2+y^2+z^2+u^2=r^2 3. The attempt at a solution So I assume the eq. is x^2+y^2+z^2=r^2 If I have x as my first and dependent interval would the limit be from -r to r? 2nd limit: -(r^2-x^2)1/2 to (r^2-x^2)1/2? 3rd limit: -(r^2-x^2-y^2)1/2 to (r^2-x^2-y^2)1/2 so then if I wanted to go to a 3 etc: 4th limit: -(r^2-x^2-y^2-u^2)1/2 to (r^2-x^2-y^2-u^2)1/2?? I appreciate the help, I've been sick from class a few days and need help with the notes from class.