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Lera25 [3.4K]
3 years ago
15

You a Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Seville in the year 1842. Outside your barracks wi

ndow is a stack of cannonballs, as shown in the illustration. On an idle afternoon you decide to calculate the number of cannonballs in the stack. what is the number of cannonballs.

Mathematics
2 answers:
alexdok [17]3 years ago
7 0

Answer:

650 cannonballs

A

Step-by-step explanation:

The stack of Cannonballs is really the sum of squares.

The top layer is 1^2

The second layer is 2^2

The Third layer is 3^2

....

layer 12 ( the bottom layer) is 12^2

The formula for this is

n*(n + 1)*(2n + 1)/6

n = 12

12(12 + 1)(2*12 + 1)/6

12 * 13 * 25/6

650

The sum of this pyramid is 650 Cannonballs

djverab [1.8K]3 years ago
5 0

<u>650 cannonballs </u>

Explanation step by step:

upper layer = 1 ^ 2

second layer = 2 ^ 2

third layer = 3 ^ 2

layer 12 is 12 ^ 2

<u>The formula is: </u>

<u>n * (n + 1) * (2n + 1) / 6 </u>

<u>n = 12 </u>

<u>12 (12 + 1) (2 * 12 + 1) / 6 </u>

<u>12 * 13 * 25/6 = </u>

<u>650 </u>

<u> </u>

There are 650 cannonballs in this pyramid.

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