What is the surface area of this sphere?

What is the surface area of this sphere?

The surface area of a sphere can be easily calculated with the help of the volume of the sphere. In this case, we should know the value of the radius of the sphere. The surface area of the sphere = 4πr2. From the formula of volume of a sphere, we can derive that, r3 = 3V/4π, or r = (3V/4π)1/3.

What is the curved surface area of a sphere?

Since the sphere is a complete curved shape therefore the curved surface area is equal to the total area of sphere. It is also called lateral surface area. Surface Area of Sphere = 4πr², where r is the radius of sphere.

What is 4 pi r 2 dr?

4(pi)*R^2 is the formula for the surface area of a sphere.

Why is the formula for a sphere 4 3?

Since the cylinder/cone and hemisphere have the same height, by Cavalieri’s Principle the volumes of the two are equal. The cylinder volume is πR3, the cone is a third that, so the hemisphere volume is 23πR3. Thus the sphere of radius R has volume 43πR3.

What is a formula for a sphere?

The formula for the volume of a sphere is V = 4/3 πr³.

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

To find the surface area of a sphere, use the equation 4πr2, where r stands for the radius, which you will multiply by itself to square it. Then, multiply the squared radius by 4. For example, if the radius is 5, it would be 25 times 4, which equals 100.

Does a ball have a curved surface?

Surface of Sphere: This is a sphere. It has no flat faces. It has only a curved face. It has no corners.

How do I unroll a spherical surface?

Squish and Smash commands cannot unroll spherical surfaces well. Both of them ignore holes in the original surface. It seems that the only practicable way to do it is to use Project command to project the holes on several (maybe 6) flat surfaces. You can edit the holes on the flat surfaces before projecting them back on the spherical surface.

What is the surface area of a sphere formula?

The surface area of a sphere formula is given by, A = 4 π r 2 square units For any three-dimensional shapes, the area of the object can be categorised into three types.

Is it possible to flatten a surface with unroll?

Any surface can be flattened with enough stretching and shrinking. But that is different than the usual definition of “unroll” – to flatten a surface without any stretching or shrinking, Rhino command Unroll unrolls a surface without zero or minimal stretching and shrinking. It only works on developable or “close enough” to developable surfaces.

How do you flatten a sphere on a plane?

You can’t unroll (flatten) the surface of a sphere onto a plane. The first metric, that of the sphere, has constant positive curvature. The second metric, that of the plane, has zero curvature. Both aren’t locally isometric; see Theorema Egregium.