SOLUTION: The height of the cone is 16cm and the radius is 12cm, and the question is that the cone is exactly half full of water by volume. How deep is the water in the cone

Question 912147: The height of the cone is 16cm and the radius is 12cm, and the question is that the cone is exactly half full of water by volume. How deep is the water in the cone
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
volume of cone,
Half full,
Simplify and find h.

Note that the cone was HALF-FILLED, so assuming axis of the cone is up-down, the base may be either up or down.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,

full = = 768
half-full = 384pi
Note: h = (16/12)r in general
half-full = = 384pi
(4/9)r^3 = 384
r^3 = 864
r =
h = (4/3), depth of the water when half-full

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