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can somone tell me the weight of water in a cylinder,?
18 feet in diameter and 4 feet deep?
Thank you
4 Answers
- Scorpio9Lv 71 decade agoFavorite Answer
Solution :
Solving first the volume of a cylinder ;
V = pi * r^2 * h
where :
V = volume of cylinder = ?
pi = constant = 3.1416
r = radius = 1/2 of diameter = 9 feet
h = depth or height = 4 feet
V = (3.1416)*(9^2)*(4)
V = 1,017.88 cubic feet
density of water = 1,000 kg/cu.m
or 62.4 lbs/cu.ft
1 cu.m. = 35.31 cu. ft.
Wt. of water = 1,017.88 cu.ft x 62.4 lbs/cu.ft
= 63,515.71 lbs (answer)
or
= 1,017.88 cu.ft. x 1 cu.m./35.31 cu.ft. x 1,000 kg/cu.m.
= 28,826.96 kgs
= 28.827 tons (answer)
- Cultural ParadoxLv 61 decade ago
The weight would be volume x density
volume = Pi R*2 H = 3.14 x 9*2 x 4 = 1017 cu ft
water's density = 62 lb/cu ft
62 x 1017 = 63,000 lb
Hope that helps...
- TexasLv 71 decade ago
V = Pi * R^2 * D
It is simpler in metric units to calculate.... 1 cc = 1 gram, or one cubic meter = one metric tonne 1000kgs.
R = 9 ft = (9*12*2.54)
9 * 12 * 2.54 = 274.32 cm
D = 4 ft = (4*12*2.54)
4 * 12 * 2.54 = 121.92 cm
V = Pi * R^2 * D
3.14 * (274.32^2) * 121.92 = 28,808,427 cc
Since 1 cc of water weights 1 gram, we can also say
28,808,427 grams
or 28.8 Metric Tonnes.
or convert back to lbs if you really want to...
28 808 427 / 456 = 63,176.375 lbs
28 808 427 / (456 * 2 000) = 31.5881875 Tons (normal US measure)