Question 1154329
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The diameter and depth of the cone are in the ratio 22:33 = 2:3.<br>
When the cone is filled to any depth, the liquid is in the shape of a cone similar to the whole cone -- that is, the diameter and depth are always in the ratio 2:3.<br>
So when the depth of the liquid is 15cm, the diameter of the surface of the liquid is 10cm.<br>
The volume of the cone in cm^3 is<br>
{{{(1/3)(pi)(11^2)(33) = 1331pi}}}<br>
When the depth of the liquid is 15cm, the volume of liquid is<br>
{{{(1/3)(pi)(5^2)(15) = 125pi}}}<br>
The amount of liquid needed to fill the container is<br>
{{{1331pi-125pi = 1206pi}}}<br>
Perform the calculation and convert the answer in cm^3 to liters.  (1 liter = 1000 cm^3)<br>