How to draw and fill the width region of the disk in Inkscape?

Question

How to draw and fill the shaded region of the disk in Inkscape as shown in the image below?

Answer 1

1. Draw an ellipse, and duplicate it using Ctrl+D

2. Move it above the lower one (you can nudge it with the up arrow key on your keyboard)

3. With snapping enabled, draw a rectangle to intersect with the two ellipses (see example below)

4. With the select tool S hold down Shift and also select the bottom ellipse

5. Do Path > Union or use the shortcut Ctrl++, and set the fill to grey

6. Select the top ellipse and set the fill to white

Example showing steps 3 to 6