SOLUTION: A cone with diameter 12cm and height 16cm is exactly half full by volume.find the depth of the water

Question 1118901: A cone with diameter 12cm and height 16cm is exactly half full by volume.find the depth of the water
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

The water in the cone has a shape that is similar to the whole cone.

The cone is half full by volume, so the ratio of volumes between the two cones is 1:2.

By a general principle of similar figures, the ratio of linear measurements between the two cones is the cube root of the ratio of volumes, which is 1:cube root of 2. So the depth of the water in the cone is the height of the whole cone, divided by the cube root of 2.

16/(2^(1/3)) = 12.6992... or about 12.7cm.
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