Question 1210437
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A conical vessel has a height of 24 cm. and a base diameter of 12 cm. 
It holds water to a depth of 18 cm. above its vertex. Find the volume
of its content in cc.
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<pre>
Write a proportion  "height to the base radius " equals "depth to the radius of water surface"

    {{{24/6}}} = {{{18/r}}}


using the similarity of triangles.  From this proportion

    r = {{{(6*18)/24}}} = {{{18/4}}} = 4.5 centimeters.


To find the water volume, use the formula to the volume of a cone

    V = {{{pi*r^2*h}}} = {{{3.14159265*4.5^2*18}}} = 1145.110521 cm^3.


Round it reasonably  V = 1145.11 cm^3.    <<<---===  <U>ANSWER</U>
</pre>

Solved.