Is the surface area of the inside of a sphere the same as the outside?

The Greek mathematician Archimedes discovered that the surface area of a sphere is the same as the lateral surface area of a cylinder having the same radius as the sphere and a height the length of the diameter of the sphere. The lateral surface area of the cylinder is 2πrh where h=2r .

What is the surface area of a spherical shell?

Outer surface area spherical shell=4πR2. Volume of material used for spherical shell=43π(R3−r3)

How do you find the surface area of a shell?

Total surface area of a hemispherical shell can be found using the formula, TSA = 2π (r2 r 2 2 ;+ r1 r 1 2) + π(r2 r 2 2 – r1 r 1 2) (or) 3 π r2 r 2 2 + π r1 r 1 2, where, r1 r 1 is the radius of internal hemispherical shell, and r2 r 2 is the radius of external hemispherical shell.

Why sphere does not have total surface area?

Since the sphere is a complete curved shape therefore the curved surface area is equal to the total area of sphere. In other words, a sphere is a perfectly round geometrical object in three-dimensional space, just like a surface of a round ball.

Can you find the surface area of sphere in any other way?

The formula for the circumference of a circle of radius R is 2*Pi*R. Similarly, the volume of a ball enclosed by a sphere of radius R is (4/3)*Pi*R3. And the formula for the surface area of a sphere of radius R is 4*Pi*R2.

What is spherical shell?

In geometry, a spherical shell is a generalization of an annulus to three dimensions. It is the region of a ball between two concentric spheres of differing radii.

Is spherical shell hollow?

Spherical shell means it is hollow inside. If shell and sphere are made of metal then there is no diffrence.

What is spherical shell in math?

Why sphere has only one surface area explain?

The sphere has the smallest surface area of all surfaces that enclose a given volume, and it encloses the largest volume among all closed surfaces with a given surface area. so earth has only one surface area .

How many surface does a sphere have?

A sphere is a three-dimensional round-shaped object. Unlike other three-dimensional shapes, a sphere does not have any vertices or edges. All the points on the surface of the sphere are equidistant from its center….Sphere.