Thu 23 Dec, 2004 02:54 pm
If each Grundo only carries one bucket, and if the bucket is a cylinder 20cm in diameter by 30cm tall, and if an Abominable Snowball requires a sphere of snow 60cm in diameter and another sphere of snow 110cm in diameter, how many Grundos are required to build three Abominable Snowballs?
i am very confused.any1 know it?
I see it like this:
Volume of a sphere = 4/3 x Pi x radius^3
Volume of large snowball = 4/3 x 3.1415927 x ((110 / 2) ^3) = 696,910 cm^3
Volume of small snowball = 4/3 x Pi x (60/2)^3 = 113,097 cm^3
Total volume of snowman= 696,910 + 113,097 = 810,007 cm^3
Volume of a cylinder = Pi x radius^2 x height
Volume of bucket = 3.1415927 x ((20 / 2) ^2) x 30 = 9,425 cm^3
Number of buckets for 1 snowman = (Volume of snowman / volume of bucket) = 810,007 / 9,425 = 86 (after rounding)
Number of buckets for 3 snowmen = 86 x 3 = 258
Hopefully that's correct!
not 258, this is a riddle, not simply a math problem.
I can't see how we are supposed to solve this with what information was given. We've calculated the number of buckets of snow needed to create the 3 snowmen as 258. We are told that each Grundo carries one bucket, so the answer could be:
1 Grundo x 258 "journeys"
258 Grundos x 1 "journey" (each)
Or anything in between.
is now confused... but blown away by smart math people.. my brain would explode before doing all that pie stuff..