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Solution: What is the ratio of the area of the second segment to that of the first?

What is the ratio of the area of the second segment to that of the first?

Problem Statement: CE Board May 1995

A sphere having a diameter of 30 cm is cut into 2 segments. The altitude of the first segment is 6 cm. What is the ratio of the area of the second segment to that of the first?

Problem Answer:

The ratio of the area of the second segment to that of the first is 4:1.

Solution:

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