Congratulations! You have guessed correctly in the Lenny Conundrum game (Round 123). We have given you a Trectse fo Thade, an Avatar, and 230 NP!
Alright! Staying up late paid off for once!
...well, sort of, I got a Third Place trophy for my trouble
Hmph
I got it right but was too late lol
Anybody know what time they update with the new puzzle?
If the desert heat uniformly melts the surface of the ice at a rate of 1.5mm of depth per minute, how many minutes will it take for her bath to be completely full? Please round up to the nearest minute, and assume the volume does not change between solid and liquid states.
congrats guys I got it and I thought i got it retty fast but I didn't get the av oh well
nacine82 wrote:If the desert heat uniformly melts the surface of the ice at a rate of 1.5mm of depth per minute, how many minutes will it take for her bath to be completely full? Please round up to the nearest minute, and assume the volume does not change between solid and liquid states.
You should probably post the top part as well considering it is the part that contains the mass of the ice block.
nacine what is it on this forum we all share ideas??
THIS WEEKS PUZZLE - ends next Thursday most probably
Princess Amira demands only the most luxurious of accommodations. So for her bath, she had glacial ice from Terror Mountain shipped to her palace in the Lost Desert. There, the ice was carved into a perfect sphere, exactly 2 meters in diameter. The ice sphere melted into her hexagonal bath measuring 1.5 meters on a side, and 0.8 meters deep.
If the desert heat uniformly melts the surface of the ice at a rate of 1.5mm of depth per minute, how many minutes will it take for her bath to be completely full? Please round up to the nearest minute, and assume the volume does not change between solid and liquid states.
omg sorry I didn't see that part no wonder I didn't understand it
I got 667, but I might have interpreted the question wrong. At first I thought it was a calculus problem (related rates), but then it turned out that I didn't actually need any calculus to solve it...
"the desert heat uniformly melts the surface of the ice at a rate of 1.5mm of depth per minute"
What exactly does that mean? I took it as the heat decreased the radius of the sphere 1.5mm per minute, but that could be completely wrong, which would make my answer completely wrong. But if that's right, then all you have to do is take the radius of the sphere (1m) and divide it by 1.5mm, or .0015m. And that comes out to 666.666..., or 667, since they said to round up. But since that didn't involve using the volume of either the sphere or the tub, or the fact that the tub was hexagonal, I'm thinking that I'm probably wrong. Ah well.
thats how i read it too but then again two people can be wrong
so confused
im so confused with this lenny conumdrum there r too many formulas that u can possibly use to find the answer
Why would it subtract 1.5mm from the radius? Why not the diameter? Would it not melt the sphere uniformly all around?
hmmm
ok I cacluated the volume of the tub using the formula of an equilateral triangle,
area of triangle = (1.5m^2 * sqrt(3) ) / 4 = .9742 m^2 so that's the area of 1 triangle and the multiply that by 6 to get the area of the hexagon. so
.9742 m^2 * 6 = 5.8456 m^2
once you have the area of the hexagon multiply this by the height to get the volume so
5.8456 m^2 * .8 m = 4.6765 m^3
that's what I got so far, when I calculate the volume of the sphere compared to this it come out smaller so now I'm kinda lost
is this a mistake or a trick question? they are asking when the tub will be completely full, but according to my calculations there isn't enough water in the sphere to fill the tub..
that's the problem that I'm having to!!!
Okay, so i calculated the volume of the tub to be 1.56 m^3. which requires a diameter of 1.44m for the ice sphere, so shouldn't we have plenty of ice?
