Question: 5. A sphere has radius 5 cm and a cone has height 10 cm and its base has radius 5 cm. The sphere and cone

5. A sphere has radius 5 cm and a cone has height 10 cm and its base has radius 5 cm. The sphere and cone sits on a horizontal surface as shown on the diagram. Find the height above the horizontal plane such that the circular cross section of the two solids have equal area. (You may use similar triangle properties without proving them)

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