The root for "in place of" is

lieu

Explanation:

One spelling variant of the root word loc meaning “place” is lieu, the French root word derived from the Latin loc. ... In other words, the lieutenant stands in lieu of, or in “place” of that higher ranking officer.

either a donut or a sphere or a pancake or a flat sphere. it depends on where the vertical line is.

if the line goes through the center of the circle and is perpendicular to a diameter containing the center, then you get a flat circle.

if the line and the diameter of a the circle meet in the center of the diameter and at an angle, you get a pancake.

if the line is on the circumference of the circle and is at right angles   to the circle you get a ring.

if the line contains the diameter, you get a sphere.

the the line is parallel to the diameter and touches the circumference, you get a donut.

well if u read the book you would know that she meant to