Asked by Hay
the right circular cone of a radius 12 inches and height 9 inches is intially filled with water. the water from the cone is drained into the intially empty rectangular prism below it until the surface of the water is halfway down the lateral edge of the cone. how high to the nearest inch, will the water be in the rectangulr prism
Answers
Answered by
Reiny
No dimensions given for the rectangular prism, so I can't do the problem.
However, the volume of the full cone
= (1/3)π(12^2)(9) cubic inches
= 432π cubic inches
So the volume when the water is 4.5 inches high and has a radius of 6 inches (similar triangles)
= (1/3)(6^2)(4.5)π cubic inches
= 54π cubic inches
take it from there
However, the volume of the full cone
= (1/3)π(12^2)(9) cubic inches
= 432π cubic inches
So the volume when the water is 4.5 inches high and has a radius of 6 inches (similar triangles)
= (1/3)(6^2)(4.5)π cubic inches
= 54π cubic inches
take it from there
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