the inner circumference of a hollow cylindrical pipe is 4.5 metre and Outer circumference is 4.6 metre find the cost of painting both its energy and outside size at the rate of rupees 20 per metre square if it is 8 metre tall

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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