WebOct 27, 2024 · The surface area of the sphere is determined by the size of the sphere. The size is based on the radius of the sphere. The more the radius, the more will be the surface area of a sphere. The surface area of a sphere is given by \ (A = 4\pi {r^2},\) where \ (r\) is the radius of the sphere. In the formula for the surface area of a sphere, \ (4 ... WebDerivation [ edit] The volume can be calculated by integrating the differential volume element over the volume of the spherical sector, where the integrals have been separated, …
differential geometry - Surface Element in Spherical …
WebSep 23, 2024 · Radius of a football r = 0.12 m. The amount of leather required to manufacture one ball is the same as the total surface area of the spherical ball. Surface area of sphere = 4 π r 2. Leather required for one football = 4 × 3.14 × 0.12 2 = 0.180864 m 2. Therefore, leather required for 1000 footballs = 0.180864 × 1000 = 180.864 m 2. WebFrom the graph, the charge on the sphere at $100 \mathrm{kV}$ is $1.8 \boldsymbol{\mu C}$ Step 2: Calculate the electric potential energy stored The E.P.E stored is the area under the graph at $100 \mathrm{kV}$ The area is equal to a right-angled triangle, so, can be calculated with the equation: $ cisa high value asset assessment
calculus - Derive the surface of a sphere using integration ...
WebStep 1: Note the given radius of the sphere. Here, the radius of the sphere is 6 cm. Step 2: Now, we know that the surface area of sphere = 4πr 2, so by substituting the values in … WebDerivation [ edit] The volume can be calculated by integrating the differential volume element over the volume of the spherical sector, where the integrals have been separated, because the integrand can be separated into a product of … WebFeb 17, 2024 · The surface area of a sphere is 4*pi*r^2. The lateral area of a cylinder is the height times the circumference of the base, or 2*pi*r*h. For a cylinder of height 2r, that makes S = 2*pi*r* (2r) = 4*pi*r^2 Whether you think it's impossible or not, it's true! cis-sukupuolinen