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.
2 answers:
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
<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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