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Area of sphere or total surface area of sphere is the region covered by a surface of a spherical object in a three-dimensional space. Since the sphere is a complete curved shape therefore the curved surface area is equal to the total area of sphere. It is also called lateral surface area.
The formula of total surface area of a sphere in terms of pi (π) is given by: Surface area = 4 π r2 square units. The difference between a sphere and a circle is that a circle is a two-dimensional figure or a flat shape, whereas, a sphere is a three-dimensional shape.
Jul 8, 2024 · The surface area of a sphere with a diameter of 8 cm is 201.06 cm 2. To obtain this result, follow these steps: Multiply the diameter by itself to get the diameter squared: d 2 = 8 2 = 64 cm 2. Multiply the diameter squared by pi to obtain the sphere's surface area: A = π × d 2 = π × 64 cm 2 ≈ 201.06 cm 2. Verify the result using our area ...
The surface area of a sphere is the area covered by the outer surface of the sphere. Learn how to determine the surface area of a sphere using examples.
3 days ago · Contents. Proof. Archimedes' Hat-Box Theorem. Practice Problems. Proof. To prove that the surface area of a sphere of radius r r is 4 \pi r^2 4πr2, one straightforward method we can use is calculus. We first have to realize that for a curve parameterized by x (t) x(t) and y (t y(t ), the arc length is.
Jun 11, 2023 · The surface area of a sphere is the entire region covered by its outer round surface. It is also the curved surface area of a sphere. Like all other surface area it is expressed in square units such as m 2 , cm 2 , and mm 2 .
Oct 4, 2023 · Calculator online for a the surface area of a capsule, cone, conical frustum, cube, cylinder, hemisphere, square pyramid, rectangular prism, triangular prism, sphere, or spherical cap. Calculate the unknown defining side lengths, circumferences, volumes or radii of a various geometric shapes with any 2 known variables.
Surface Area of a Sphere. Unlike a cone, cube, or cylinder, a sphere does not have any edges. So a sphere has only one continuous surface. And the area covered by this surface is the surface area of the sphere. Formula | Surface Area of a Sphere. For a sphere with a radius \hspace {0.2em} r \hspace {0.2em} r, the surface area is given by.
The surface area of a sphere is 4πr 2. 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: S = 4πr 2 /2 + πr 2 = 3πr 2. where r is the radius of the hemisphere.
The surface area of a sphere is exactly four times the area of a circle with the same radius.
