Question 780981
the height of water in a cylinder of radius 14cm is 20 cm. the water transferred into a rectangular prism of length 30 cm, width 22 cm and height 50 cm.
 find the height of water level in the rectangular prism.
:
Find the volume of the water in the cylinder
v = {{{pi*14^2*20}}}
v = 12315 cu/cm
:
Find the height of this amt of water in the rectangular prism
{{{12315/(30*22)}}} = 18.66 cm high
Find the height of the empty area above the water
50 - 18.66 = 31.34 cm
Find the volume of this area
30*22*31.34 = 20685 cu/cm
convert this volume to liters
20685 * .001 = 20.685 liters to fill the prism