i only want to know what is a semi-vertical angle of 45 degree. can anyone draw a graph of it for me

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- Oct 14th 2007, 10:15 AMafeasfaerw23231233what is a semi-vertical angle
i only want to know what is a semi-vertical angle of 45 degree. can anyone draw a graph of it for me

- Oct 14th 2007, 10:21 AMJhevon
- Oct 14th 2007, 11:07 AMafeasfaerw23231233
the question of my book said:

a right circular conical vessel with the semi-vertical angle of 45 degree is placed on a horizontal table with its apex upwards. water is poured into the vessel through a small hole in the apex, at a uniform rate of 12 m^3/s

........ another question said:

water is flowing at the rate of 10 cm^3/s into a leaking inverted circular cone of semi-vertical angle of 30 degree ............

what does that semi-vertical angle mean? - Oct 15th 2007, 12:37 AMafeasfaerw23231233semi-vertical angle
- Oct 15th 2007, 01:47 AMticbol
As usual, if I don't undferstand a term, I look it up in the internet.

Google gave me a website that says,

*About the word 'vertical'*

'Vertical' has come to mean 'upright', or the opposite of horizontal.**But here, it has more to do with the word 'vertex'**. Vertical angles are called that because they share a common vertex.

So the vertical angle of a right circular cone is the apex angle of its cross-section along the height.

Semi-vertical angle then is half of that vertical anglpe.

In your posted drawings, the one defined at the cone to the right is the semi-vertical angle.

So, a semi-vertical angle of 45 degrees has 2(45) = 90 degrees for its full vertical angle.