A particle rotates counterclockwise from rest according to 8 = tl S0 - i, where 6 is in radians

and t in seconds. alculate the angular displacement 6, the angular velocity , and the angular
acceleration a at the end of 10 seconds

Investigate the possibility of inscribing a right circular cylinder of maximum total arca in a right circular

cone of radius r and height h.

I have no idea what that first garbled paragraph is trying to say, and I don't feel like spending the effort to decipher it.

As for the second, yes it can be done.
Draw a side view and work out the formula for the area in terms of r and h.
google can show you how.