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You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Sevilla in the year 1842. Outside your barracks window 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?
Answers
In Sevilla in the year 1842, you are Miguel Cervantes de Navas y Colon, a captain in the Royal Spanish Army. The total number of cannonballs in the stack is 385.
Given that,
In Sevilla in the year 1842, you are Miguel Cervantes de Navas y Colon, a captain in the Royal Spanish Army.
A pile of cannonballs is seen outside the window of your barracks.
The total number of cannonballs can be calculated using the steps below:
The following is a general formula to determine how many cannonballs are altogether in the stack:
Total number of cannonballs is n(n+1)(2n+1)/6
where "n" represents the overall number of layers.
Change the value of "n" in the formula above.
1st layer is stack of cannonballs is 1²=1 cannonball.
2nd layer is stack of cannonballs is 2²=4 cannonballs.
3rd layer is stack of cannonballs is 3²=9 cannonballs.
last layer is stack of cannonballs is 10²=100 cannonballs.
n is 10.
Substitute in the formula
=10(10+1)(2×10+1)/6
=10×11×21/6
=385
Therefore, the total number of cannonballs in the stack is 385.
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took it on edge 2020 (:
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H E L P!
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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