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The sphere has the smallest surface area of all surfaces that enclose a given volume, and it encloses the largest volume among all closed surfaces with a given surface area. The sphere therefore appears in nature: for example, bubbles and small water drops are roughly spherical because the surface tension locally minimizes surface area.
Surface area of a sphere is defined as the total area covered its outer surface. A sphere has surface area equal to 4 π r2 square units. Learn easy and best methods to calculate the surface area of spherical objects at BYJU’S
Jun 29, 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 ...
3 days ago · A sphere has several interesting properties, one of which is that, of all shapes with the same surface area, the sphere has the largest volume. 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.
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.
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 .
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.
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.
Surface area of sphere: computation and sense of formula. Google Classroom. Microsoft Teams. About. Why Is the formula for surface area of sphere equal to 4pir^2? And applying its formula to find the surface area. Created by Devashish Phadnis. Questions. Tips & Thanks. Want to join the conversation? Sort by: Top Voted. Pantherstar. 4 months ago.
