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22 July, 23:43

a cylindrical can of radius 200mm has liquid weighs 50kg. Find the height of liquid in cm in the can, if the density is 0.8g/cm3.

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  1. 22 July, 23:54
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    density = mass/volume

    50 kg to g

    50*1000 = 50,000 grams

    200 mm to cm

    200*0.1 = 20 cm

    Substitute: 0.8=50,000/volume of a cylinder

    volume of cylinder = (pi) (r^2) (h)

    volume of cylinder = (pi) (20^2) (h)

    0.8=50,000 / ((pi) (20^2) (h))

    0.8=50,000/400*pi*h

    50,000/0.8=400*pi*h

    62,500=400*pi*h

    62,500 / (400*pi) = h

    h≈49.74 cm
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