Sketch the graph of \(y^2 = x^3\).

Calculate the area enclosed by the curve and the ordinate \(x = 4\).

Find also the volume generated by rotating this area about the axis of \(x\).

Sketch the graph of \(y^2 = x^3\).

Calculate the area enclosed by the curve and the ordinate \(x = 4\).

Find also the volume generated by rotating this area about the axis of \(x\).