# Dr Tickle

OK.

All right another one, a perfect sphere inside a cone, with the edges of the sphere just touch the inside of the cone, what fraction of the volume of the cone does the sphere occupy ?

As in all good school person days

Volume of a sphere = 4/3 Pi R (cubed)

Volume of a cone = 1/3 Pi R h

Should be easy was in the Metro not long ago.

It's theoretical again, no atoms / quantum bolloc*s allowed.

Eddie M said:
Volume of a cone = 1/3 Pi R h
No it isn't. Was this the puzzle? Oops, sorry, 1/3 Pi R (squared) h.

Might make life a bit easier. I think I was correct with my answer Softus:

If r = 6378.137km, then distance around is the cirumference = 2xpixr

circumference = 2 x 3.142..x6378.137 = 40080.212908km

Therefore approx. 40080.2km

if the radius increases by 1m = 0.001km, then r = 6378.138km

circumference = 2x3.142..x6378.138 = 40080.219192km

Therefore approx. 40080.2km

As I stated to the nearest km - no difference.

nelsy said:
I think I was correct with my answer Softus:

If r = 6378.137km, then distance around is the cirumference = 2xpixr

circumference = 2 x 3.142..x6378.137 = 40080.212908km

Therefore approx. 40080.2km

if the radius increases by 1m = 0.001km, then r = 6378.138km

circumference = 2x3.142..x6378.138 = 40080.219192km

Therefore approx. 40080.2km

As I stated to the nearest km - no difference.

You are approximately correct.

OK, earths a bit puny, we want to do the same for the sun, which has a diameter of 1391980 Km approximately. What's the answer here ?

Also the largest sun in the known universe which has a diameter of 19907564394594948 Km (ok, I made this up) ?

Its so F*****g hot the rope would set on fire!!! Eddie M said:
Question, how much extra rope do we need to allow for this.
nelsy said:
Virtually nothing...no change at all.
nelsy said:
I think I was correct with my answer Softus...no difference.
Have another go.

Clue: there is only one answer - 2 * pi * 1m.

I know what the answer is. It's always 2 pi and irrespective of the original r. Just a light hearted question.

so no matter the original length, if it was suspended 1m above the surface it would only ever be 6.284 meters longer?

water does not swirl different ways depending on which hemisphere..

many try to explain that it does by using "coriolis force" which says that in the northern hemisphere, things further north move slower than things further south causing a clockwise rotation..
in reality, this is only visible on a massive scale in some weather paterns and would not affect a mass of water so small..

ColJack said:
so no matter the original length, if it was suspended 1m above the surface it would only ever be 6.284 meters longer?
Correct.

water does not swirl different ways depending on which hemisphere.
I've found that to be incorrect.

Eddie M said:
All right another one, a perfect sphere inside a cone, with the edges of the sphere just touch the inside of the cone.
What flavour is it?

what happens at the equator? which way does it swirl there?

It just goes straight down 2
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