Hello, galactus!

A cylindrical barrel of diameter lies on a stand

so that its axis makes an angle of 20° with the horizontal.

The amount of fluid in the barrel just covers the bottom of the barrel.

Approximate the volume of fluid in the barrel. Code:

D
*
* *
L * * d
* *
* *
* *
A* - - - - - - - - - - - - - - - - - - - - *C
:*::::::::::::::::::::::::::::::::::* :
: *:::::::::::::::::::::::::::* :
: *d:::::::::::::::::::* L :
:20°*:::::::::::::* :
: *::::::* 20° :
P+ - - * - - - - - - - - - - - - - - - - - +Q
B

Let = length of the cylinder.

In

In

Since

The fluid occupies __half__ the volume of the cylinder: .

Therefore: .