Problem 55 of 7
Identify cross-section of sphere cut by a plane that does not intersect the sphere.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
know plane slices are circles.
Hidden until you reveal it.
Know plane slices of a sphere are circles, with center and off-center slices.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Recognize the solid is symmetric in every direction.
2. A plane intersecting the sphere in an area makes a circle.
3. Use distance from center to decide circle size.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Ellipse as a plane cross-section of a sphere.