SOLUTION: The base of a conical vessel is 1,000 cm^2. How many liters of water can it contain if it is 1 meter deep?

Algebra ->  Bodies-in-space -> SOLUTION: The base of a conical vessel is 1,000 cm^2. How many liters of water can it contain if it is 1 meter deep?      Log On


   

Question 1198550: The base of a conical vessel is 1,000 cm^2. How many liters of water can it contain if it is 1 meter deep?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

The volume of a cone is one third of the product of its base area and its height.


The given data must be converted to the consistent units.


So, we have base area = 1000 cm^2, the height = 100 cm.


Then the volume = %281%2F3%29%2A1000%2A100 = 100000%2F3 cm^3 = 100%2F3 liters = 33.333 liters (rounded).    ANSWER



                1 liter = 1000 cm^3.

Solved.