SOLUTION: 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 one-half its​ height, what portion of the volume of the cup is f

Algebra ->  Surface-area -> SOLUTION: 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 one-half its​ height, what portion of the volume of the cup is f      Log On


   

Question 1158348: 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 one-half its​ height, what portion of the volume of the cup is filled with​ water?
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.

The similarity coefficient between two cones is  1%2F2.


Therefore, the ratio of the volumes is  %281%2F2%29%5E3 = 1%2F8.


ANSWER.  The filled volume is 1%2F8  of the whole volume.

Solved, explained and completed.