The formula of a sphere, in modern terms, originates from calculus. Given that the area of a circle
a(r) = pi*r^2
the definite integration of a(r) from -r to r, the area of the circle rotated around a plane, z, leads to
V(r) = definite integral of -r -> r [pi*y^2]dx
where r^2 = x^2 + y^2, from the distance formula, so r^2 = x^2 - y^2
V(r) = definite integral of -r -> r [pi(x^2-y^2)]dx
V(r) = integral of 0 -> r minus integral of -r -> 0
V(r) = pi(r^3 - (r^3)/3) - pi(-r^3 + (r^3)/3), collect terms
V(r) = (2pi*r^3)/3 + (2pi*r^3)/3
V(r) = (4pi*r^3)/3
Formula for calculating the area of sphere is : 4 * pi * r * r
The formula for the surface area of a sphere is: 4 pi r 2
Surface area of a sphere = 4πr2
The formula for the surface area of a sphere is 4πr2. The formula for the volume of a sphere is 4/3πr3.
Formula for volume of a sphere = 4/3*pi*radius3 measured in cubic units.
Use the formula for volume to solve for the radius of the sphere and then plug that radius into the formula for the surface area of a sphere.
Surface Area of a Sphere = 4 pi r2
Surface area of a sphere = 4*pi*radius2
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The mass of a sphere is 4/3*pi*r3*d where r is the radius of the sphere and d is the density of the material of the sphere.
Volume=(4/3)π(radius of sphere)^3
The formula for the surface area of a sphere is 4*pi*r2