Select the type of cross section formed when a sphere is cut by a vertical plane. triangle square circle pentagon

Visualize Sphere Properties: To solve this problem, we need to visualize or recall the properties of a sphere and what happens when it is intersected by a plane. A sphere is a three-dimensional solid where all points on the surface are equidistant from the center. When a sphere is cut by a plane, the cross section will be a shape that is symmetrical around the center point where the plane intersects the sphere.Sphere Intersected by Plane: Since the plane is vertical, it will cut through the sphere in such a way that the cross section will be a perfect circle. This is because any plane that cuts through the center of a sphere will create a circle, which is the set of all points that are equidistant from the center of the sphere along the plane.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select the type of cross section formed when a sphere is cut by a vertical plane.
triangle
square
circle
pentagon

Select the type of cross section formed when a sphere is cut by a vertical plane. $\newline$ triangle $\newline$ square $\newline$ circle $\newline$ pentagon

View step-by-step help

Home

Math Problems

Grade 7

Classify quadrilaterals I

Full solution

Q. Select the type of cross section formed when a sphere is cut by a vertical plane.

\newline

triangle

\newline

square

\newline

circle

\newline

pentagon

Visualize Sphere Properties: To solve this problem, we need to visualize or recall the properties of a sphere and what happens when it is intersected by a plane. A sphere is a three-dimensional solid where all points on the surface are equidistant from the center. When a sphere is cut by a plane, the cross section will be a shape that is symmetrical around the center point where the plane intersects the sphere.
Sphere Intersected by Plane: Since the plane is vertical, it will cut through the sphere in such a way that the cross section will be a perfect circle. This is because any plane that cuts through the center of a sphere will create a circle, which is the set of all points that are equidistant from the center of the sphere along the plane.