SOLUTION: A cylindrical container has a radius of 2 inches and a volume of 48π cubic inches. If the container is 2/3 filled with water, how many inches deep does the water filled the contai

Algebra ->  Circles -> SOLUTION: A cylindrical container has a radius of 2 inches and a volume of 48π cubic inches. If the container is 2/3 filled with water, how many inches deep does the water filled the contai      Log On


   

Question 1141894: A cylindrical container has a radius of 2 inches and a volume of 48π cubic inches. If the container is 2/3 filled with water, how many inches deep does the water filled the container?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
The volume of the cylinder is 


    pi%2Ar%5E2%2Ah = 48%2Api,    or


    pi%2A2%5E2%2Ah = 48pi,


which implies   h = 48%2F4 = 12 inches.


2%2F3  of 12 inches is 8 inches.    ANSWER