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

Question

Vera_Pavlovna [14]

4 years ago

11

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

e answer in terms of π.

Mathematics

1 answer:

sveticcg [70] · Answer 1 · 2022-02-02T12:31:34+03:00

sveticcg [70]4 years ago

5 0

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