Snowman Maths

[Pondlife]

If I have an area of 10m x 10m with 10cm of snow, how big a snowman can I build ?

If you'd like, you can assume that snow is falling at an inch an hour but I only have until it gets dark.

Considerations;

Compacting the snow
Straght sided or spherical
optimal body to head ratio

[Bagpuss]

Something like this?

Polish snowman, 6 days in making, rises 31 feet » OMGshots.com

[DimPrawn]

I've put the data into a climate model, taking into account warming rates, compaction of snow, thermal dynamics, phase transition energy and forces acting on the snow, the answer is you can't build a snowman, as Snowfalls are now just a thing of the past - Environment - The Independent

HTH

[EternalOptimist]

If I have an area of 10m x 10m with 10cm of snow, how big a snowman can I build ?

If you'd like, you can assume that snow is falling at an inch an hour but I only have until it gets dark.

Considerations;

Compacting the snow
Straght sided or spherical
optimal body to head ratio

10*10*.1 = 10 m3

assume 50% waste
= 5m3

assume 1 m base
=5/3.142 = 1.5 m tall


1 m base
1.5 m high


dont forget the spoons

[Pondlife]

10*10*.1 = 10 m3


dont forget the spoons

Or it's head?

[EternalOptimist]

Or it's head?

my calculations included the head


all my calculations include the head. always have, always will do

[TimberWolf]

A sphere is about the worst shape to pick to build a high snowman. There's a volume of 10m^3 of snow available. Assuming a packed density of half that, that's 5m^3 of packed snow. So the finished box snowman could be 1m * 1m * 5m and weigh 5 tonnes.

[EternalOptimist]

A sphere is about the worst shape to pick to build a high snowman. There's a volume of 10m^3 of snow available. Assuming a packed density of half that, that's 5m^3 of packed snow. So the finished box snowman could be 1m * 1m * 5m and weigh 5 tonnes.

If you examine the source code, you will see that I have proposed a cylinder, not a sphere.
guide the cylinder into an anthropomorphic shape with spoons. agw

[TimberWolf]

If you examine the source code, you will see that I have proposed a cylinder, not a sphere.
guide the cylinder into an anthropomorphic shape with spoons. agw

Yeah, well your cylinder is 2m wide and only 1.5m tall. A very plump snowman. Mine is 5m tall.

[RichardCranium]

"Waste of time, maths. You'll never use it once you leave school."