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Jobisdone [24]
3 years ago
6

Help please!!! You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Sevilla in the year 1842

Mathematics
2 answers:
tiny-mole [99]3 years ago
6 0

Answer:

There are 650 cannonballs


Step-by-step explanation:

If you look closely in the picture, you can see that:

  • 1st row has 1 ball
  • 2nd row has 4 balls
  • 3rd row has 9 balls
  • 4th row has 16 balls

etc. etc.

We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:

  • 5th row has 25 balls
  • 6th row has 36 balls
  • 7th row has 49 balls
  • 8th row has 64 balls
  • 9th row has 81 balls
  • 10th row has 100 balls
  • 11th row has 121 balls
  • 12th row has 144 balls

If we add up all those, we get total number of balls:

1+4+9+16+25=36+49+64+81+100+121+144=650

There are 650 cannonballs



Nimfa-mama [501]3 years ago
3 0

we can start from top

we can see that

top has 1 ball

second top has 4 balls

third top has 9 balls

so, we will get series

1^2 +2^2+3^2+4^2+...........+12^2

now, we can add them

we can sum of squares of natural numbers formula

Sum=\frac{n(n+1)(2n+1)}{6}

Here , last term is 12^2

so, n=12

Sum=\frac{12(12+1)(2*12+1)}{6}

we will get

Sum=650

so, number of balls is 650...........Answer

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