Volume and Surface Area of the Intersection of Two Spheres

first sphere

center coordinates

x

0

y

0

z

0

radius

2.4963

second sphere

center coordinates

x

1

y

1

z

1

radius

1

opacity

0.3

The intersection volume is 3.94946.

2

1+

a

b

c

The intersection surface area is 12.2139.

2

1+

a

b

c

The surfaces of the spheres intersect in a circle.

This Demonstration shows the intersection of two spheres and calculates the volume and surface area of the intersection.

External Links

Sphere-Sphere Intersection (Wolfram MathWorld)

Permanent Citation

Idir Expósito Gómez

"Volume and Surface Area of the Intersection of Two Spheres"
http://demonstrations.wolfram.com/VolumeAndSurfaceAreaOfTheIntersectionOfTwoSpheres/
Wolfram Demonstrations Project
Published: June 3, 2014