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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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Answer:

2.515

Step-by-step explanation:

1. First you add the equation for a cone and a half sphere

(1/3*pi*r^2*h)+(1/2*4/3*pi*r^3)

2. You replace h with 2*r2 because height is 2*Diameter

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Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
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Answer:

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Step-by-step explanation:

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Complete the solution of the equation. find the value of y when x equals -8 <br> 8x+8y=-48
Korvikt [17]
<span>8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
</span><span><span><span>(8) </span><span>(<span>−8</span>) </span></span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>−64 </span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>8y </span>− 64 </span>= <span>−<span>48
</span></span>-----------------------------------------
Add 64 to each side
<span><span><span>8y </span>− 64 </span>+ 64 </span>= <span><span>−48 </span>+ 64
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</span>---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = <span>2
</span>----------------------------------------------------------------
y = 2 is your answer
4 0
3 years ago
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