This is a petroleum engineering question

I think closest major (here in chegg) is chemical engineering so please if you are a good expert solve it if you are not quite sure about it leave it to another good expert

Please show me all formulas and steps

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Pay attention to the units

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Q1. A 500ft cement plug is to be placed at a depth of 7000ft in order to sidetrack around a stuck BHA in 8.5 open hole with a capacity of 0.3941cuft/ft. The plug will be spotted through 5,19.5lb/ft open end drillpipe with 20 barrels of water pumped ahead of the slurry, which has a yield of 1.15cuft/sk. The annulus capacity is 0.2577cuft/ft, and the pipe capacity is 0.0997ft3/ft(0.01776bbl/ft). Determine the following: (a) Number of sacks of cement required (b) Volume of water spacer behind the slurry to balance the plug (c) Length of the balanced plug before pulling the pipe (d) Amount of the displacement mud required to spot the plug