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The pillars of a castle are shaped like a cone surmounted on a cylinder of height 23 \(m\). The radius of the pillar is 21 \(m\) and the slant height is 5.2 \(m\). If there are 14 congruent pillars in the castle and each litre of paint can cover 14 \(m^2\), 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.]