The vertical cross-section of a solid is shown below has 10 in every side angle

Mathematics

1 answer:

Vlad1618 [11]3 years ago

3 0

I think I know what it forms - a cone!!

I'm guessing that the angles at the end are 10 degrees so that would make angle CAB equal 5 degrees.
Line AB would be the radius of the "upper cone".
Line BC is 12/2 or 6
tangent (A) = BC / AB
tangent (5) = 6 / AB
AB = 6 / tan(5)
AB = 6 / 0.087489
AB = 68.58 which is the radius of the "upper cone".
Cone Volume = (PI * radius^2 * height) / 3
Cone Volume = (PI * 68.58 * 68.58 * 6) / 3
Cone Volume = 29,551
That is just the "upper cone volume. So, we multiply 29,551 * 2
and get 59,102 which is the volume of the entire solid.
 
Source for cone volume:
http://www.1728.org/volcone.htm

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