Question

Trigonomatry Question

Answer 1

Questions is in the pictures :)

Answer 2

Hey @Ahsome, what do you think?

Answer 3

I would say this question can be done without any knowledge of trigonometry using similarity of triangles.

Answer 4

I thought similar triangles play a role, but I cant seem to find any way to solve. We are notigen \(h\), and I don't know how to get that value. We do need \(h\) right?

Answer 5

But we can find \(h\) by using similar triangles, yeah.

The small right triangle that is orange in colour has sides \(h\) and \(R-r\), and they correspond to \(H \) and \(R\) in the bigger triangle.\[\frac{h}{R-r}=\frac{H}R\]\[h = H \cdot \frac{R-r}{R}\]

Answer 6

So your answer is simply\[V(r)=\frac{\pi r^2 H(R-r)}{R}\]

Answer 7

Thank you so much! I completely forgot about how similar triangles work, you have been immensely helpful

Answer 8

No problem =)