SOLUTION: A conical container of altitude 8 cm circumscribed a ball 6 cm in diameter. Find the volume of the water necessary to fill the container.

Question 1189048: A conical container of altitude 8 cm circumscribed a ball 6 cm in diameter. Find the volume of the water necessary to fill the container.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A figure, showing a 2-dimensional cross-section....

Given:
CD = 8
OD = OE = OF = OG = 3

I'll let you do the actual work of solving the problem; I will just try to point you in the right direction.

(1) Use the given information to find the length of CO
(2) Use right triangle CEO to find the length of CE
(3) Use similar triangles CEO and CDB to find the length of BC
(4) Knowing the height and radius of the cone, determine its volume

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