A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 2 inches and the height is 7 inches. Express the volume, V, of the cylinder in terms of its height, h. Hint: Ratios for similar right triangles will be helpful.

Elementary Geometry for College Students
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Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 38E: The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle...
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A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 2 inches and the height is 7 inches. Express the volume, V, of the cylinder in terms of its height, h. Hint: Ratios for similar right triangles will be helpful.
V(h) =
Transcribed Image Text:A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 2 inches and the height is 7 inches. Express the volume, V, of the cylinder in terms of its height, h. Hint: Ratios for similar right triangles will be helpful. V(h) =
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