Calculating Sphere Volume Using Trig Substitution

[kristian321]

Homework Statement

find the volume of a sphere of radius R by integrating over the primary volume elements in cartesian coordinates. Hint: use a trig substitution for your integral over dy

Homework Equations

The Attempt at a Solution

I don't understand what the problem wants me to do. I know equation of a sphere is R=sqrt(x^2+y^2+z^2) and maybe integrating will give me the volume. And if what would my limits be? Are they 0 to R for all?

 

[kristian321]

Homework Statement

find the volume of a sphere of radius R by integrating over the primary volume elements in cartesian coordinates. Hint: use a trig substitution for your integral over dy

Homework Equations

The Attempt at a Solution

I know the limits for the integration. But I can't figure out what equation I'm supposed to integrate over