In Diagram 2, the diameters of a cylindrical jar and a cylindrical container are 3d cm and d cm respectively. The jar contains water to a depth of 12 cm. The water from the jar is poured equally into 6 empty containers. Calculate the height, in cm, of water level of each container.

In Diagram 2, the diameters of a cylindrical jar and a cylindrical container are 3d cm and d cm respectively. The jar contains water to a depth of 12 cm. The water from the jar is poured equally into 6 empty containers. Calculate the height, in cm, of water level of each container.

Jawab:

Penjelasan dengan langkah-langkah:

diameter of Cylindrical Jar (Cj) = 3d cm

diameter of cylindrical container (Cc) = d cm

Height of Cj = 12 cm

Volume Cj = 6 Volume Cc

H Cc = ?

We need to make equation based on the cylinder's volume

since

V cylinder = πr²h

where radian = 1/2 d

therefore,

Volume Cj = 6 Volume Cc

π.(3d/2)².12 = 6.π.(d/2)².h (eliminate π)

$frac{9d^2}{4} times 12= 6 times frac{d^2}{4} .h$

$frac{9d^2}{4} :frac{d^2}{4} times frac{12}{6} =h$

$frac{9d^2}{4} times frac{4}{d^2} times 2 = h\h = 9 times 2 = 18 cm$

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