The Drought
- Thread starter Derrick Hughes
- Start date
Sprog
Member
- Location
- South Shropshire
I have 20mm in my dog bowl which is 65mm high and the diameter is 190mm at the top and 150mm at the bottom. How much rain have i had?
Boydvalley
Member
- Location
- Bath
How much has he drunk?
- Location
- somerset
nearly 10 hrs of steady rain here now, and still raining ! The torrential of yesterday was great, but a lot ran off, with the few soakings, things are nicely damp, done our haymaking, so much happier !
- Location
- Bedfordshire
32mm if none splashed out.
Sprog
Member
- Location
- South Shropshire
Mmm, could I see your workings for that.
- Location
- Bedfordshire
area of a circle is pi r2, so the ratio of the area of top of the dogs bowl to the bottom is a ratio of the square of each diameter (pi and half being constant) So 20mm x 190 squared, divided by 150 squared is 32mm.
probably haven't explained myself very well. i just did 20 x 190 x 190 / 150 / 150 = 32.
Edit - But I haven't taken into account the slope of the sides, but I'm guessing we are only be approximate.
Should be 20 x 190 x 190 / 156.5 / 156.5 = 29.5mm.
probably haven't explained myself very well. i just did 20 x 190 x 190 / 150 / 150 = 32.
Edit - But I haven't taken into account the slope of the sides, but I'm guessing we are only be approximate.
Should be 20 x 190 x 190 / 156.5 / 156.5 = 29.5mm.
- Location
- Scottish Highlands
Other way round - it’s narrower at the base than the top, so logically the depth in the bowl will be more than the rainfall has been.
- Location
- Scottish Highlands
Roughly 20mm by my guess.
32 *(150^2)/(190^2), with a bit taken off for the slopes sides.
- Location
- Devon
He had 20mm in the bowl
15mm in round figures my guess.
- Location
- Devon
14.5 mm by my workings but just a quick go so might be wrong?
- Location
- Scottish Highlands
sorry yes, was thrown by the 32mm answer before.
I’d go around 15mm, maybe a bit lower.
- Location
- Cirencester
Well, managed to get 33mm today thankfully and still spitting now, same again and that'll do.
Sprog
Member
- Location
- South Shropshire
I was assuming you had got the equation the right way round, was just wondering how you had worked out how much the dog had drunk!
- Location
- somerset
13 hrs steady rain non stop, still raining, fantastic, droughts over !
- Location
- East yorks
5mm takes us to over 65mm this month just wall to wall scorchio for the next 3months now please
magical stuff, my farm is transformed over the past week from desperation through hope to quiet optimism. Fodderbeet is doing wonderful things with water!
- Location
- Northumberland
13.5mm
A volume of 382855 cubic mm fell on the top area of 28338 square mm. The volume of water is determined by subtracting the volume of the cone needing to be added to make the dog's bowl come to a point at the bottom, from the volume of the larger cone including the 20mm of water.
Double checked by integration.
- Location
- Bedfordshire
Of course you are correct.
- Location
- Ceredigion
Hows it looking then
