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A sphere with radius \(r\) has a volume of \( \frac{4}{3} \pi r^3 \) and a surface area of \( 4 \pi r^2 \). A sphere has several interesting properties, one of which is that, of all shapes with the same surface area, the sphere has the largest volume.
5 days ago · The surface area, 𝐴 , of a sphere of radius 𝑟 is given by the formula 𝐴 = 4 𝜋 𝑟. . Since 𝜋 = 3. 1 4 1 5 9 … is just a number, this means that as long as we know the radius of a sphere, we can always apply this formula to find its surface area. Let’s start with a simple example.
4 days ago · a 0-sphere is a pair of points {, +} , and is the boundary of a line segment ( -ball). a 1-sphere is a circle of radius centered at , and is the boundary of a disk ( -ball).
3 days ago · The atmosphere of Earth is composed of a layer of gas mixture that surrounds the Earth's planetary surface (both lands and oceans ), known collectively as air, with variable quantities of suspended aerosols and particulates (which create weather features such as clouds and hazes ), all retained by Earth's gravity.
1 day ago · Platonic solid. In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.
1 day ago · Yet Cosm Los Angeles definitely has entertainment on its mind. It will no doubt recall Las Vegas' all-encompassing arena Sphere. Yet Cosm is cozier. The centerpiece of the venue is its dome, with ...
5 days ago · For the floating of a hollow sphere, the mass of the displaced water has to be larger than that of the actual mass of the hollow sphere. As we know the density of the material is \[\rho \]. Area of the hollow sphere can be written as, \[A=4\pi {{R}^{2}}\], where R is the radius of the sphere. Mass of the hollow sphere can be written as,
