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This formula was discovered over two thousand years ago by the greek philosopher archemedes.
Equation for area of a sphere math. S 4πr 2 2 πr 2 3πr 2. Thus we have the result being the area of sphere formula. Which multiplied out gives. In the figure above drag the orange dot to change the radius of the sphere and note how the formula is used to calculate the surface area.
Area 4 π r. Since a hemisphere is half of a sphere its surface area s is half the surface area of a sphere plus the area of the circular base shown in gray created by intersection of the plane and sphere. Where r is the radius. Which means that the formula for the surface area of the curved cylinder encasing the sphere can be re written as.
Where r is the radius of the hemisphere. 2 π r 2r. 4 π r. Where r is the radius of the sphere.
The surface area of a sphere is 4πr 2.
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