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A cylindrical column has a base radius of 4 cm and is formed by stacking 6 disks whose heights are in arithmetic progression, the bottom disk being 1 cm and the top disk 11 cm tall. Find the total volume of the column. (Take pi = 3.14)

1. 1808.64 cm^3
2. 1507.20 cm^3
3. 2010.50 cm^3
4. 1205.76 cm^3

Correct answer: 1808.64 cm^3

Solution

The heights form an AP with first term 1 and last term 11, so their sum is 6/2*(1+11)=36 cm. Volume = pi*r^2*h = 3.14*16*36 = 1808.64 cm^3.

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