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ron_jay
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How do we come to 4.pi.r^2?
The formula for finding the surface area of a sphere is 4πr², where r is the radius of the sphere.
The formula for the surface area of a sphere can be derived by imagining the sphere as a collection of infinitely small circles stacked on top of each other. The sum of the areas of all these circles, which are all equal to 4πr², gives us the formula for the surface area of a sphere.
Yes, the surface area of a sphere can also be calculated using integration in spherical coordinates. This method involves breaking down the surface of the sphere into infinitesimally small pieces and adding up their areas.
No, the surface area of a sphere and its volume are two different measures. The surface area is the total area of the sphere's curved surface, while the volume is the amount of space enclosed by the surface of the sphere.
The surface area of a sphere is used in various fields such as physics, engineering, and astronomy. It is used to calculate the amount of material needed to make a spherical object, such as a ball or a planet, and to determine the amount of heat transfer occurring on the surface of a spherical object.