Each pie would have a volume of 1809.56cm^3 (assuming it’s a perfect cylinder) meaning the total mass of each pie is 2080.994 grams. We’ll make it 2.08kg for simplicity and round to hundredths.
Jupiter’s mass is 1.89×10^27kg, so in total it would take 9.09×10^26 pies.
And as for the whipped cream, if we assume 200ml (.2 Liters) of whipped cream per 1/8th of a pie, 1.45×10^28 liters.
The calculations are [mostly] correct, as far as they go, but they make an assumption. They assume pies have vertical edges. I call that a cake.
If we instead assume a 45 degree angle on the edge instead, and do the integral, we find the pies lose almost 30% of their mass. I get 1.296×10^27 pies.
As for the bonus: 0. The chef should make no pies and no whip cream. He can’t get enough ingredients to do the job.
FYI: it is integrate pi x^2 dx from 8 to 12; then multiply by 1.15 to get the mass of the pie.
This becomes: ( pi * 12^3 / 3 – pi * 8^3 / 3) * 1.15
Regrouping and subtracting: 1.15 * pi * 1216 / 3 grams/pie = 1464.40 grams/pie(which should probably be rounded to 1460 due to lack of precision on the density, or even 1500 due to lack of precision on the diameter, or even …. .)
That reminds me of a bonus question my astronomy teacher had. If the moon were really made of green cheese with a density of 3.5 g/cm^3, what would its mass be? He gave us some measurements, constants, and formulae.
My algebra teacher in college gave out a “pop” quiz the last day before Christmas break (greeted by a collective groan from the class). Format was solve and write answer in blank in front of the question (for easier grading we thought). When solved correctly the answers read “Merry Christmas”. Yes it was that long ago.
Yeah, I had a few teachers that were like that and coming up with holiday-themed problems for us the students to solve. Admittedly though, I never really thought too much about it since it still meant I had to solve problem, and usually around the holidays too, no less. :P
Since there is only one significant digit in the thickness, there should be only one significant digit in the solution; 9 × 10^26 is what the teacher would be looking for.
As for how much whipped cream, since this is Peter we are talking about, the answer is, “As much as the chef can.”
So was the mass of Jupiter just given as a constant earlier in the lesson? Like, as a way to teach students how to use exponents to do math with very large numbers?
I remember there was a Sunday Foxtrot strip where Peter used a valid formula to calculate the trajectory of a cannon ball shot from a pirate ship. I showed it to my Physics instructor and he got a kick out of that.
I love how Paige is dressed in a Travis Kelce jersey now. I’m sure it has everything to do with her love of the Kansas City Chiefs and nothing to do with Kelce dating Taylor Swift.
Robert4170 about 1 year ago
9.13 × 10^26 pies.
Arbitrary about 1 year ago
Each pie would have a volume of 1809.56cm^3 (assuming it’s a perfect cylinder) meaning the total mass of each pie is 2080.994 grams. We’ll make it 2.08kg for simplicity and round to hundredths.
Jupiter’s mass is 1.89×10^27kg, so in total it would take 9.09×10^26 pies.
And as for the whipped cream, if we assume 200ml (.2 Liters) of whipped cream per 1/8th of a pie, 1.45×10^28 liters.
win.45mag about 1 year ago
If they had a density of 1.15 g/cm3, you’d need a table aprox. 3.14(cm2x2y3) thick
mccollunsky about 1 year ago
All that pie talk, I’m surprised he didn’t eat the paper.
knutdl about 1 year ago
Pie = 3.14
divad27182 about 1 year ago
The calculations are [mostly] correct, as far as they go, but they make an assumption. They assume pies have vertical edges. I call that a cake.
If we instead assume a 45 degree angle on the edge instead, and do the integral, we find the pies lose almost 30% of their mass. I get 1.296×10^27 pies.
As for the bonus: 0. The chef should make no pies and no whip cream. He can’t get enough ingredients to do the job.
FYI: it is integrate pi x^2 dx from 8 to 12; then multiply by 1.15 to get the mass of the pie.
This becomes: ( pi * 12^3 / 3 – pi * 8^3 / 3) * 1.15
Regrouping and subtracting: 1.15 * pi * 1216 / 3 grams/pie = 1464.40 grams/pie(which should probably be rounded to 1460 due to lack of precision on the density, or even 1500 due to lack of precision on the diameter, or even …. .)
FreyjaRN Premium Member about 1 year ago
That reminds me of a bonus question my astronomy teacher had. If the moon were really made of green cheese with a density of 3.5 g/cm^3, what would its mass be? He gave us some measurements, constants, and formulae.
I averaged over 100% in that class. Fun!
Kroykali about 1 year ago
Today’s classic FoxTrot Sunday strip:
https://www.gocomics.Com/foxtrot/2002/11/17
Purple People Eater about 1 year ago
That looks like a problem Jason would enjoy.
cdillon85 about 1 year ago
Mr. Amend is showing off his football fandom.
AtariDragon about 1 year ago
No way do I believe that. I’ve taught physics for 23 years, and physics teachers are ALWAYS silly.
MTH Premium Member about 1 year ago
Gronk’s Jersey! (I also have it in blue).
SeanT about 1 year ago
It figures Paige would be a Swiftie
kendonna about 1 year ago
Is the girl wearing a Travis Kelce jersey? Good grief!!
derdave969 about 1 year ago
My algebra teacher in college gave out a “pop” quiz the last day before Christmas break (greeted by a collective groan from the class). Format was solve and write answer in blank in front of the question (for easier grading we thought). When solved correctly the answers read “Merry Christmas”. Yes it was that long ago.
jel354 about 1 year ago
That’s one way to get Peter to pay attention in class.
karenm202 about 1 year ago
Paige musr be a Swiftie. Wearing that red #87 shirt.
DaBump Premium Member about 1 year ago
Physics? More like math.
SuperAndy Premium Member about 1 year ago
Nice touch to have Paige sporting the Travis Kelce jersey. Go birds
scyphi26 about 1 year ago
Yeah, I had a few teachers that were like that and coming up with holiday-themed problems for us the students to solve. Admittedly though, I never really thought too much about it since it still meant I had to solve problem, and usually around the holidays too, no less. :P
IWannaBeLerxst about 1 year ago
Am I the only one noticing (or commenting on) Paige being a Swift-kneecap-sucking Kelce fan?!?
cj7ole about 1 year ago
3.1415926
del_grande Premium Member about 1 year ago
Since there is only one significant digit in the thickness, there should be only one significant digit in the solution; 9 × 10^26 is what the teacher would be looking for.
As for how much whipped cream, since this is Peter we are talking about, the answer is, “As much as the chef can.”
Otis Rufus Driftwood about 1 year ago
Silly, but practical.
yangeldf about 1 year ago
So was the mass of Jupiter just given as a constant earlier in the lesson? Like, as a way to teach students how to use exponents to do math with very large numbers?
Tetonbil about 1 year ago
Yup, That’s a Travis Kelsey jersey! That dude can catch a football! Good choice!
KEA about 1 year ago
I used to do stuff like that. (my students loved it… ha!)
MRBLUESKY529 about 1 year ago
Travis Kelce jersey. She must be a Swifty.
raybarb44 about 1 year ago
Putting math in interesting terms it would seem…..
cracker65 about 1 year ago
Make that pecan, and I might try to figure it out.
M.K.Staffeld about 1 year ago
Too bad more science/math questions weren’t like this…
Angry Indeed Premium Member about 1 year ago
I remember there was a Sunday Foxtrot strip where Peter used a valid formula to calculate the trajectory of a cannon ball shot from a pirate ship. I showed it to my Physics instructor and he got a kick out of that.
KingDavidLane about 1 year ago
By the jersey it’s clear Paige is a Swifty.
calliarcale about 1 year ago
Oddly, this is putting me in mind of Randall Munroe’s fascinatingly disturbing “mole of moles”. >
webfoot5 about 1 year ago
All these comments and nothing about Paige being a Swiftie?
HA! about 1 year ago
My physics prof used Batman swinging his Batarang as a problem for calculating centripetal velocity.
mail2jbl about 1 year ago
I love how Paige is dressed in a Travis Kelce jersey now. I’m sure it has everything to do with her love of the Kansas City Chiefs and nothing to do with Kelce dating Taylor Swift.
kleanerz about 1 year ago
Not enough information as the mass of Jupiter is not provided.
EnlilEnkiEa about 1 year ago
Plot twist: Jupiter is a pie giant.
Bonus: If li’l brother eats it, there isn’t enough whipped cream in the universe.
alexzinuro 12 months ago
The answer that I got is 5.5158 octillion pies and 243 sextillion short tons of whipped cream.
aussie399 Premium Member 10 months ago
Pumpkin pie!! As a non American I’ve got to say yuck!!!