Question

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.

Answer 1

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