The pillars of a castle are shaped like a cone surmounted on a cylinder of height 24 \(m\). The radius of the pillar is 35 \(m\) and the slant height is 5.1 \(m\). If there are 13 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 \(\pi = \frac{22}{7}\).]
Answer:
The total volume of paint required is litres.
[Note: Enter the answer rounded to the whole number.]