Can someone help me solve this problem?

enter image source here

1 Answer
Alan P.
May 20, 2018

A=pi(r^2-h^2)

Explanation:

If we let hatr be the radius of the circular cross-section (as opposed to simple r, the radius of the sphere,
then by the Pythagorean Theorem
color(white)("XXX")(hatr)^2=r^2-h^2

The Area of the circular cross-section is given by the standard formula for the area of a circle:
color(white)("XXX")A=pi * (hatr)^2

color(white)("XXX"A)=pi * (r^2-h^2)

Related questions
Impact of this question
935 views around the world
You can reuse this answer
Creative Commons License