F.2 數學,,[體積],,英文題目...急!!!10分!!

2007-02-21 12:27 am
A metal cube with sides of 10 cm each is melted and recast as 20 cylinders with the base radius of 1 cm . Find the height of the cylinder.

回答 (4)

2007-02-21 12:35 am
✔ 最佳答案
firstly calculate the volume of the meal block :
(10 × 10 × 10)cm^3
=1000cm^3
then calculate the height of the cylinder :
[1000 ÷ (20 × 1 × 1 × π)]cm
=[1000 ÷ 20π]cm
=15.9cm (3 sig.fig.)
2007-02-21 12:45 am
The volume of the metal cube:
=(10x10x10) cm3
=1000cm3
The volume of a cylinder
=1000cm3/20
=50cm3
Let the height of the cylinder be h cm
π(1)^2 x h= 50cm3
h=15.91549431
參考: myself
2007-02-21 12:38 am
the volume of cube = 10 ^ 3 = 1000
the volume of one cylinder = 1000/20 = 50
let x be the height of the cylinder
圓周率 * ( 1 ^ 2 ) * x = 50
x = 50 / 圓周率
therefore , the height of one cylinder = 50 / 圓周率

2007-02-20 16:39:10 補充:
單位係cm
參考: 自己
2007-02-21 12:35 am
Vol of Cube=10*10*10=1000cm^3
Let h be the height of the cylinder
(1)^2(h)(pi) * 20 = 1000
h = 15.91549431cm
參考: 自己計


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