A cone-shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to five dash sixths its height, what portion of the volume of the cup is filled with water?

125/216 or (5/6) ³

Step-by-step explanation:

height of water column=5/6 * 12=10 cm

radius of water level=10/12*6=5 cm

volume of water=π * 5²*10=250 π cm³

volume of cone=π*6²*12=432 π cm³

reqd. ratio=250 π/432 π=125/216 = (5/6) ³