Interchanging y and z so that the axis of revolution is now on the xy-plane, and setting z=c to find the curve of intersection gives
ˌɪntɚtʃˈeɪndʒɪŋ wˈaɪ ænd zˈiː sˌoʊ ðætðɪ ˈæksɪs ʌv ɹˌɛvəlˈuːʃən ɪz nˈaʊ ɔnðɪ ˌɛkswˈaɪplˈeɪn, ænd sˈɛɾɪŋ zˈiː ˈiːkwəlz sˈiː tə fˈaɪnd ðə kˈɜːv ʌv ˌɪntɚsˈɛkʃən ɡˈɪvz