[问答题]
$\text { The following diagram shows the curve } \frac{x^{2}}{400}+\frac{(y+5)^{2}}{225}=1 \text {, where } 0 \leq y \leq h \text {. }$
The curve from point C to point P is rotated $360^{\circ}$ about the y -axis to form a lamp shade. The rectangle ABCD , of height $(10-h) \mathrm{cm}$ , is rotated $360^{\circ}$ about the y -axis to form a solid ceiling fixture.
The lamp shade is assumed to have a negligible thickness. Given that the interior volume of the lamp shade is to be 6000 $\mathrm{~cm}^{3}$ , determine the height of the ceiling fixture, length A D in the diagram.
