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A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving the answer in terms of π.
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A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving the answer in terms of π.

User Yeti
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1 Answer

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The area would be 25π inches.

Since the cross-section goes through the center of the sphere it will be a circle. The area of a circle is given by A = πr²; for our circle, since the diameter is 10 inches, the radius is 5;

A = π(5²) = 25π
User Mike Buss
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