NeoPets Riddles (Lenny Conundrums) and Answers Here

Markd, I would think so. We could check for you to see if your avatar count went up or a trophy appeared, if you like

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i messed up my answer but oh well
waiting for new lc...

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Suppose you perfectly spherical water tank with an inside diameter of 8.6 metres. If the drain at the bottom of the tank can't handle a hydrostatic pressure of more than 50 kilopascals, what is the maximum volume of water, in litres, that can be contained in the tank? Assume that gravitational acceleration is exactly 9.81 m/s2. Please round to the nearest 10 litre increment, and please submit only a number for your answer. (For example, if you calculate the answer to be 16277 litres, submit 16280 as your answer)

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blacksuzaku wrote:

Suppose you perfectly spherical water tank with an inside diameter of 8.6 metres. If the drain at the bottom of the tank can't handle a hydrostatic pressure of more than 50 kilopascals, what is the maximum volume of water, in litres, that can be contained in the tank? Assume that gravitational acceleration is exactly 9.81 m/s2. Please round to the nearest 10 litre increment, and please submit only a number for your answer. (For example, if you calculate the answer to be 16277 litres, submit 16280 as your answer)

so i guess conversions are needed. they have to be found somewhere...

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im gonna take a crack at the lc now. just beated the Better Than You contest Smile

I was the 4th to beat it and got myself a gold trophy =D

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ThezeR2HarD wrote:

im gonna take a crack at the lc now. just beated the Better Than You contest I was the 4th to beat it and got myself a gold trophy =D

O_O My top score at that game is 500. Is there some trick to it??

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anyone have any ideas as to what to use as the formula to compute this? I know that to find volume of a sphere it is v=(4/3) X pi X r^3

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Congratulations on getting a gold trophy, elmurci! You deserve it since you where the first inhere to post the correct answer Very Happy

yay for you! Very Happy

This new LC is MURDER on my math-challenged brain...

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concentrate is the answer, i dont really understand this lc.. can someone explain it to me

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pressure (Pa) = r * g * h
50000 = 1000 (kg/m*m*m) * 9.81 (m/s*s) * h
h = 5.0968 m

this is the heighth to which the sphere is filled

go to www.abe.msstate.edu/Tools/Volume/partsphere.php to calculate the volume of a partially filled sphere

You get the volume to be 212.27387 (m*m*m) which converts to:

212273.87 l

Rounds to: 212270 Liters

No guarantees Smile

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stormygoddess wrote:

ThezeR2HarD wrote:
im gonna take a crack at the lc now. just beated the Better Than You contest I was the 4th to beat it and got myself a gold trophy =D

O_O My top score at that game is 500. Is there some trick to it??

Yeah, my top score is 521 and that was a lucky game! Shocked

I don't get how anyone can beat 2800!

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how did you determine the height?

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nevermind, that was a stupid question. They said it was perfectly spherical so the height would be the same as the diameter, correct?

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momcarrot wrote:

nevermind, that was a stupid question. They said it was perfectly spherical so the height would be the same as the diameter, correct?

Correct.

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momcarrot wrote:

how did you determine the height?

--------------------------------------------------------------------------------
pressure (Pa) = r * g * h
50000 = 1000 (kg/m*m*m) * 9.81 (m/s*s) * h
h = 5.0968 m

h (what you solve for) is the heighth to which the sphere is filled

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ro67 wrote:

momcarrot wrote:
how did you determine the height?

--------------------------------------------------------------------------------
pressure (Pa) = r * g * h
50000 = 1000 (kg/m*m*m) * 9.81 (m/s*s) * h
h = 5.0968 m

h (what you solve for) is the heighth to which the sphere is filled

thats not the height, 8.6 metres is

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ThezeR2HarD wrote:

ro67 wrote:
momcarrot wrote:
how did you determine the height?

--------------------------------------------------------------------------------
pressure (Pa) = r * g * h
50000 = 1000 (kg/m*m*m) * 9.81 (m/s*s) * h
h = 5.0968 m

h (what you solve for) is the heighth to which the sphere is filled

thats not the height, 8.6 metres is

---------------------------------------------------------------------------------

If you filled the sphere all the way, the height would be 8.6 m (basically, you need the height of the column of water over the bottom/center of the tank). Then, the pressure would be:

(8.6)*(9.81)*(1000) = 84366 Pascals or 84.34 kiloPascals

At that pressure, the tank would fail. So, you need to determine the hieght to which you can fill the tank before it fails. That's what I did and got the height to which it can be filled to be 5.09m. Then you need to determine the volume of a partially filled sphere and get your answer.

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where did you get the r as 1000? I am sorry if I seem stupid, but I want to understand this. Thank you.

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momcarrot wrote:

where did you get the r as 1000? I am sorry if I seem stupid, but I want to understand this. Thank you.

I'm with you on that. =P

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momcarrot wrote:

where did you get the r as 1000? I am sorry if I seem stupid, but I want to understand this. Thank you.

r stands for rho and is the density of the fluid (1000 kg/m*m*m in the case of water)

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