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how to derive the formula of volume of sphere. In this equation V represents volume and r represents the radius of the sphere. Th d ϕ 4 b r d th 5 c d r.
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That will give us the volume of the sphere. The volume of cylindrical element is. The volume of the sphere is twice that.
V 4 3 p r 3.
D V p x 2 d y. To use spherical coordinates we can define a b and c as follows. One neat feature of this approach is that it DOES lead to a general method which WILL be used later in calculus - the so called slab method for finding volumes. It is true that the formula for the surface area of a sphere itex4pir2itex can be integrated to give the volume of the ball but again that is not deriving the formula.
