Problem $3$:

solve step by step.

Include dcl$,$ include drawing of projections labeled with measurements.

There is a cylinder of volume $\backslash (15\backslash$mathrm$\{$~m$\}^\{\backslash$wedge$\}3\backslash )$ of water, depth L $,$ and diameter $\backslash ($ D $\backslash ),$ Case $1$

The horizontal force exerted by the wall on the cylinder is $\backslash (120,000\backslash$mathrm$\{$~N$\}\backslash )$ located at the same height of C $.$

Case $2$:

The vertical force exerted by the wall on the cylinder is $\backslash (120,000\backslash$mathrm$\{$~N$\}\backslash )$ located at the same height of $\backslash ($ C $\backslash ).$

a$)$ Determine the depth $\backslash ($ L $\backslash )$ it must have to stay in place for case $1.$

b$)$ Determine the depth $\backslash ($ L $\backslash )$ it must have to stay in place for case $2.$

c$)$ Calculate the horizontal force for each case.

d$)$ Calculate the vertical force for each case.

e$)$ The weight of the Cylinder.