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The pillars of a castle are shaped like a cone surmounted on a cylinder of height 24 \(m\). The radius of the pillar is 21 \(m\) and the slant height is 8 \(m\). If there are 12 congruent pillars in the castle and each litre of paint can cover 13 \(m^2\), 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.]