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Solution: Find the radius of a hemispherical bowl

Find the radius of the hemispherical bowl

Problem Statement: CE Board May 1996

A mixture compound of equal parts of two liquid, one white and the other black, was placed in a hemispherical bowl. The total depth of the two liquids in 6 inches. After standing for a short time, the mixture separated, the white liquid settling below the black. If the thickness of the segment of the black liquid is 2 inches, find the radius of the bowl in inches.

Problem Answer:

The radius of the hemispherical bowl is 7.33 inches.

Solution:

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