bodensee9
Feb1-07, 04:36 PM
Can someone explain to me how to find the volume of the following? I am asked to use cylindrical coordinates to find the volume of the solid enclosed by the sphere r^2+a^2 = a^2 and by the cone z = r cot φ where φ is some fixed angle between 0 and pi/2?
I would have thought that the volume would be ∫∫∫zrdrdθ, where z runs between r*cot φ and √(a^2-r^2), r runs between 0 to a/csc φ, and θ runs from 0 to 2pi. Thanks!!
I would have thought that the volume would be ∫∫∫zrdrdθ, where z runs between r*cot φ and √(a^2-r^2), r runs between 0 to a/csc φ, and θ runs from 0 to 2pi. Thanks!!