How many bowling balls are there?

The Real Question

>what retard thinks that looks good outside their home?

Enough to crush your dreams.

>>727129171

There's a nifty formula for figuring that out. Don't have it memorized, and too lazy to Google for it.

I have faith in The Anon.

Someone will come up with it.

I think 165

276

144

>>727129171
two answers:
a) use pyramidal numbers,
b) you can't know without any way of verifying that there are balls under those balls

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>>727129171

We cant see the back so its impossible to tell it its a 4 sided pyramid or a 3 sided one. This is unsolvable.

>>727129882
Nigger, are you serious?
That's obviously a 3-sided pyramid.
The only issue is whether it's hollow or not.

>>727129882
That tree and fence tells me it's not a square

assuming that they follow the same order, 1 + 4 + 9 + 16 +25 + 36 + 49 + 64 + 81 = 285

>>727129882
The balls are spherical so...

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>>727129643
165 it is IMO

>>727130141

No, no, no. The number of balls per layer is NOT the square of the number on the side.

160

I am almost positive

>>727130141

how the fuck did you arrive at 4 for the second level down? it's clearly 3

>>727130090
>>727129882
We cant say for sure either way.

Assuming its a square:

The volume of a pyramid with a rectangular base is equal to:

Length_of_base * Width_of_base * Height * 1/3

so 9*9*9*.333333333333333=243

>>727129643
You are correct

Someone post that nifty formula...

>>727130380
Thx m8

>>727129654
You are correct

I've seen this exact question before, just didn't know the answer then.

>>727129839
You are correct

>>727130141
You are correct

>>727129171
81

>>727129171

I can't see the back so I couldn't really tell you. I'm assuming this has 4 sides?

>>727129171

That's the gayest pyramid ever built.

>>727130211
Soooo what? You can have spherical 4 sided pyramid or a spherical 3 sided pyramid dumbass.

Kek it's 165, count by layer
>9+8+7+6+5+4+3+2+1
>8+7+6+5+4+3+2+1
>7+6+5+4+3+2+1
>6+5+4+3+2+1
>5+4+3+2+1
>4+3+2+1
>3+2+1
>2+1
>1
>165

>>727129352
If the design of the balls were consistent it would look better

>>727129171
Assuming the following pattern holds:
Top level = 1
Second level = 1+2
Third level = 1+2+3
etc
And assuming that the bowling ball rack is complete and homogeneous, then the total number of bowling balls is 165.

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

Where n = number of balls on the side of the bottom, in our case, n=9

Thus 9(10)(11)/6 = 165.

>>727130690

it would look like a pile of bowling balls

>>727129171
buncha retards here. it's 265

>>727130684
Assuming it has 3 sides. We cant say for sure, so this whole thread is pointless.

>>727130808
sorry i meant 165

>>727130651
The packing is translation-invariant. You can't make a square pyramid with a regular packing when one of the corners is in a tetrahedral configuration.

>>727130907
Yes you can.

>>727129171
An ass load

>>727129171
more than 2

>>727130972
Then post one.

>>727130784
k

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>>727130857
>>727130744
>>727130684


i bet the rest of you gave up after running out of fingers and toes

>>727130852
You fucking idiot. Use common sense and look at the picture with your eyes.

Put some glasses on you retarded fuck.

>>727130258
code expanded:
9+8+7+6+5+4+3+2+1+8+7+6+5+4+3+2+1+7+6+5+4+3+2+1+6+5+4+3+2+1+5+4+3+2+1+4+3+2+1+3+2+1+2+1+1=165

109, count the first face. then take a column off one side to get the amount for two faces. for the third face, count the insides between the two outermost columns. ez pz, no math involved.

>>727129171
my genious brain says 165

>>727131143
I think he's trolling. I refuse to believe anybody actually thinks there could be two more sides back there.

>>727129171
Not enough to fill your mums cunt, you sick fk.

>>727131281
How do we know it's not just a stupid camera angle?

>>727131080
You post one with three sides first

>>727129171
174.

>>727129171
Gayest pic ever posted

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>>727129882
You are dumb as shit dude. If it were a 4 sided pyramid the back would extend outwardly as it does inwardly from the left and right sides. Which would be impossible with the fence and trees right there.

How the hell are people so imperceptive

So much samefagging ITT

Bring back IDs you Jap nigger.

The right answer is
>>727130330

>>727131281

Not him, but I agree. You can't be sure it's an even side in the back.

Hell, it could even double back inwards, so the 2D footprint would look something like a V.

It's a big assumption that the base of the structure is a equilateral triangle....and that it's filled will balls on the inside too, and now hollow.

>>727130141
1+3+6+10+15+21+28+36+45=165

>>727130330
>>Assuming its a square:

Which it very obviously isn't.

>>727131574
Thats an assumption that is attempting to counter my assumption. I assumed it had 4 sides, and if it has 4 sides, the answer is spelled above. If you want to say its 3 sides that is fine, its just a different equation.

>>727131729
>ITT: a bunch of imperceptive fucking morons

>>727129171
Why not a hard questions like: What's the total volume of the space between all the bowling balls?

>>727131824
Assumptions like this are the reason America is on the decline.

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>>727129171
You are all fools. This is clearly an existential quandary posted by the OP. He never said, "how many bowling balls are there in the picture," nor did he state the pic was relevant. He simply asked how many bowling balls are there.

In which case, we need further clarification of what defines a bowling ball. Is a ball made for the sport of bowling a bowling ball? What variations are allowed in the bowling ball design? What about miniature representations of bowling balls? Or pics of bowling balls (pic related), do we include those two? What if one draws a bowling ball, but does so poorly? Are bowling balls capable of being perceived as other things? Can other things be perceived as bowling balls?

Trick question: the inside is filled with candy.

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>>727131436
Here you go

>>727131998
What if there are bowling cubes on the inside

>>727131550
I get it.

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>>727131998

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>>727131281

Assuming that the pyramid has bowling balls on the inside and have equal sides the whole way around, it becomes fairly simple.
Bowling balls start at one (1x1) at the top, and end with 81 on the bottom (9x9). The order from bottom to top goes 9x9+8x8+7x7+6x6+5x5+4x4+3x3+2x2+1.
This equals 285. So there are 285 bowling balls.

>>727131815
That's an empty rebuttal, you were ascertaining the impossibility of judging # of sides. We can be certain there's 3 with the spacial limitations.

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>>727131998
do the bowling balls in the pic actually exist? do bowling balls actually exist?

>>727131815
It's not a fucking pyramid. There. Are. Three. Sides!

>>727131863
What do you mean 'in between'? Are we looking at the convex hull minus the spheres or...

>>727129171
about tree fiddy

>>727131998

Oh shit, someone's taking freshman Philosophy.

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>>727129171
zero.
it's a jaypeg.

>>727132058
Fine, assuming its a 3 sided pyramid:
V=1/3Ah
Where A is the area of the base and h is the height

A=40.5
h=9
Balls=V=121

>>727131932
You want to explain to me how it is logistically possible for the pyramid to have 4 sides given spacial limitations?

No dude, you're dumb. Just like the other guy.

>>727132211
Yeah, no. That would work if the base were square.

>>727132572
See
>>727132492
Where I made the assumption it has 3 sides. Both are assumptions, one is correct. Pick one.

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>>727129171
165

>>727131998
Go slap your balls, nigger

>>727131863
About 15.046785 cubic feet if the bowling balls are a standard 8.5 inches in diameter.

>>727132834

Your number, while it may be correct, doesn't tell us much.

How did you go about your calculation?

You see, this is a trick question. What we see in the picture might as well be merely a projection of a 4-dimensional pyramid of transcended bowling balls onto our 3-dimensional realm, in which case their quantity might well exceed thousands.

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>>727129171
possible base?

1
3
7
12
20
27
38
48
62
=
218

The key to determining how many balls per layer is adding up the visable balls on all 3 sides of alternating rows.

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>>727129171
>balls are touching
GAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY

>>727129171
None. I don't see any holes so I don't think they are bowling balls.

>>727129375
Idk of any formulas but if it has an inside layer the number of balls two row higher plus the number on the outside= that rows number. I noticed this while counting

>>727133149
visualize the 3rd layer from top
it's six not fucking seven

>>727133049
It's called a simplex you illiterate pleb.

>>727133095
The base is triangular if you look at the second row

>>727132700
Either this is a miscommunication or you're doing mental gymnastics

I was saying you're imperceptive because it's not logistically possible for the pyramid to have 4 sides.

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>>727132700
The assumption was dumb but you are not. Have a good day sir. Thanks for not sperging back at me.

http://jackal2.deviantart.com/art/Bowling-Ball-Pyramid-87970447

Link to where the image comes from.

>>727129643
Confirmed.

>>727133302
There is room for one more ball in the core. Most of your calculations are of the visable facade. The visable face of alternating layer fit together. Staring from the bottom.

24+18+12+7+1
21+15+9+3
18+12+7+1
15+9+3
12+7+1
9+3
7+1
3
1

>>727129171
Number of balls in each triangle (level) is just n(n+1)/2
Then answer is \sum_1^N n(n+1)/2 for arbitrary depth 3 sided pyramid, actually.

>>727134915
Please replace the number 7 with 6. I did an oops

>>727129171
165

>>727129171
81

>>727135889
This is actually the right answer. There are 81 bowling balls in this picture.

>>727136081
>81

>>727130636
This

>>727136081
Wrong. There are 81 in the bottom two layers alone.

Use induction. Note in the top layer there's 1, second there's 2 + 1, third there's 3 + 2 + 1, etc. Hence the formula >>727134937

Maybe they mean there are 81 balls in the picture as in "we can only see 81", because that's how many we can see.

>>727129171
120. Here's the formula but I was too lazy to simplify it so I just plugged it into wolfram:

sum (n = 1 to 9) ((n)*(n-1)/2)

>>727130684
>implying its not hollow
>implying there is a 3rd side

>>727137925
I screwed up and forgot that it's (n+1)*n, not (n-1)*n.

Answer's 165

>>727129171
Enough to make a pyramid

>>727136460
1st level has 1.
Second has 3.
Third has 7 (don't forget inside).
Fourth has 12...

>>727129171
109 if it has a third back side, otherwise 81

learn to zoom in and count you retards.

>>727129171
1+3+6+10... looks like triangular pascal numbers.
(in other words, 1, 1+2, 1+2+3, 1+2+3+4...)

ΣPΔn, n through 9.

165

>>727139348
Finally, someone gets it.

>>727129171
This picture makes me wish I still had my catapult.