Silver broach a level trigonometric question

[jamesCardoza13]

Hello this is my first. I’m really struggling with this question on trigonometry as just don’t know what to do so I’m looking for some help thanks. The answer is 1.05cm^3 which I don’t know how to get.

 

[lev888]

What's the formula for the volume? It involves area.
How do you calculate the area?
Hint 1: it's easier to calculate an area of a simple shape, e.g. circle, ring. So, subdivide your shape into simpler shapes.
Hint 2: note that in the ring containing the 4 cuts the cuts looks pretty similar to the filled areas. Can you confirm that their areas are equal and take advantage of this?