The pillars of a castle are shaped like a cone surmounted on a cylinder of height ​23​ \(m\). The radius of the pillar is ​42​ \(m\) and the slant height is ​8.2​ \(m\). If there are ​12​ congruent pillars in the castle and each litre of paint can cover ​17​ \(m^2\), then find the total volume of paint required. [Hint: Use \(\pi = \frac{22}{7}\).]
 
castle.png
 
Total surface area of the pillar is __________ \(m^2\).
 
Total area to be painted \(=\) ___________ \(m^2\).
 
Volume of paint required \(=\) __________ litres