Net Of A Sphere Math
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I anticipate that your idea of a net would be a series of flat pieces of material paper with straight sides which when folded up and taped would form a sphere.
Net of a sphere math. Where r is the radius of the sphere. Where r is the radius of the hemisphere. This means that a sphere has infinitely many planes of symmetry. The idea is that when you fold up a net all parts except the vertices are flat.
Total surface area of a spherical segment. Can you think of more. Examples include bubbles and water drops. The sphere appears in nature when a surface wants to be as small as possible.
Nets are helpful when we need to find the surface area of the solids. Volume of a sphere. The surface area s of a sphere is. S 4πr 2.
Volume of a spherical segment. 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. Surface area 4 π r 2. The surface area of a sphere is 4πr 2.
The volume v of a sphere is. The short is answer is that no finite number of pieces would work. Volume and surface area. S ss s1 s2 π 2rh r2 1 r2 2 where h is the height of the spherical segment r is the radius of the sphere r1 r2 are the radii of the bases of the segment s1 s2 are the areas of these bases.
Visualize how the net is to be folded to form the solid and make sure that all the sides fit together properly. Where r is the radius of the sphere.
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