Question

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?

Answer 1

Answer:

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