Surface Area of Sphere
Definition of a Sphere
Definition of a Sphere
A sphere is a geometrical object, where every point on the surface is equidistant to a point within the sphere (aka Centre).
A sphere is a geometrical object, where every point on the surface is equidistant to a point within the sphere (aka Centre).
Formula for Surface Area
Formula for Surface Area
Surface Area of a Sphere = 4πr³
Surface Area of a Sphere = 4πr³
where r is the Radius of the Sphere.
where r is the Radius of the Sphere.
Projection of Sphere onto a Cylinder
Projection of Sphere onto a Cylinder
As we make the 'rectangular' strips smaller, the projected area from the sphere gets closer to that of the image on the cylinder. Watch the 3B1B video attached for the proof.
As we make the 'rectangular' strips smaller, the projected area from the sphere gets closer to that of the image on the cylinder. Watch the 3B1B video attached for the proof.