A square pyramid of empty cans containing 5525 cans is made.The formula for a square pyramid with n layers is 1^2+2^2+3^2....+n= n(n+1)(2n+1)

The total number of cans =
5525

The top layer = 1 can

the
second layer = 2^2 = 5

the third layer = 3^2 =
9

.....

then nth layer =
n^2

==: 1^2 + 2^2 + 3^2 + ....+n^2 =
5525

==: 1 + 4 + 9 + 16 + ...+ n^2 =
5525

The sum of the aeries
is:

S = n(n+1)(2n+1)/6 =
5525

Multiply by 6:

==>
n(n+1)(2n+1) = 33,150

==> 2n^3 + 3n^2 + n=
33,150

==> 2n^3 + 3n^2 + n - 33,150 =
0

==> (n-25)(2n^2 + 53n + 1326) =
0

==> n=
25

Then there are 25 layers of cans