SOLUTION: 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.

Question 1210437: 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.
Answer by ikleyn(52990) (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Write a proportion  "height to the base radius " equals "depth to the radius of water surface"

     = 


using the similarity of triangles.  From this proportion

    r =  =  = 4.5 centimeters.


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

    V =  =  = 1145.110521 cm^3.


Round it reasonably  V = 1145.11 cm^3.    <<<---===  ANSWER

Solved.

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