The interior of a cup was generated by the rotation of a parabola around an axis $z$, as shown in the figure. The real function that expresses the parabola, in the Cartesian plane of the figure, is given by the law $f(x) = \frac{3}{2}x^{2} - 6x + C$, where $C$ is the measure of the height of the liquid contained in the cup, in centimetres. It is known that the point $V$, in the figure, represents the vertex of the parabola, located on the $x$ axis. Under these conditions, the height of the liquid contained in the cup, in centimetres, is (A) 1. (B) 2. (C) 4. (D) 5. (E) 6.
The interior of a cup was generated by the rotation of a parabola around an axis $z$, as shown in the figure.
The real function that expresses the parabola, in the Cartesian plane of the figure, is given by the law $f(x) = \frac{3}{2}x^{2} - 6x + C$, where $C$ is the measure of the height of the liquid contained in the cup, in centimetres. It is known that the point $V$, in the figure, represents the vertex of the parabola, located on the $x$ axis.
Under these conditions, the height of the liquid contained in the cup, in centimetres, is
(A) 1.
(B) 2.
(C) 4.
(D) 5.
(E) 6.