How far from its center should a grapefruit with a 6-inch diameter be sliced, in order that both circular sections have the same radius as the two halves of a perfectly sliced orange with a 4-inch diameter?

The grapefruit should be sliced 1 inch from its center in order that both circular sections have the same radius as the two halves of a perfectly sliced orange with a 4-inch diameter

Since the grapefruit has a diameter of 6 inches and we require its cut cross-section to have a diameter of 4 inches as that of a perfectly sliced orange with a 4-inch diameter.

For the circular section to have a diameter of 4 inches, we cut it with a radius of 4/2 = 2 inches from the top.

Distance from center at which grapefruit is sliced

Now, since the radius of the grapefruit is 6/2 = 3 inches, and radius of the circular cross-section is 2 inches, the distance from the center of the grapefruit the circular section should be sliced, d = radius of grapefruit - radius of section = 3 inches - 2 inches = 1 inch.

So, the grapefruit should be sliced 1 inch from its center in order that both circular sections have the same radius as the two halves of a perfectly sliced orange with a 4-inch diameter

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