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Home > CCG > Chapter 11 > Lesson 11.1.5 > Problem 11-75

11-75.

Martha was playing with a hollow plastic cone that had a diameter of inches and a height of inches. Her brother Matt snatched the cone, cut two inches off the top, and placed the cut piece upside down in the lower portion of the cone as shown at right. How many cubic inches of water would fit inside the space of her redesigned cone?  

Upward cone, with top part of the cone removed,  labeled, original view. The top shows a solid circle, with the top part of the cone, outlined downward, from the top circle. The same drawing, but as a downward cone, is labeled, original view upside-down.

Use a proportion ratio to solve for the radius of the smaller cone.