solve step by step.

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

There is a floating cylinder, tied to a rope, with a volume of $\backslash (0\mathrm{.}17\backslash$mathrm$\{$~m$\}^\{\backslash$wedge$\}3\backslash ),$ the height of the cylinder is $0\mathrm{.}2$ m $,$ it is half submerged in a liquid with an unknown fluid. The float is attached to a $16$ kg rope. $($Blue arrow$),$ The mass of the float is $450$ grams.

a$)$ The density of the unknown liquid.

b$)$ The density of the float.

c$)$ Horizontal resultant force so that the gate does not open.

d$)$ Vertical resultant force, so that the gate does not open.

e$)$ Estimate the maximum force that can be exerted on the gate without it moving.

f$)$ Determine the position of the resultant force$($ the maximum force that can be exerted on the gate without it moving$).$