V = ∫ 0 1 π ( x 3 ) 2 = ∫ 0 1 ( π x 6 ) d x {\displaystyle V=\int _{0}^{1}\pi (x^{3})^{2}=\int _{0}^{1}(\pi x^{6})dx} V = | 0 1 π x 7 7 = π 7 {\displaystyle V={\Bigg |}_{0}^{1}\pi {\frac {x^{7}}{7}}={\frac {\pi }{7}}}