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3 days ago · 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.
The surface area of a sphere formula is given by, A = 4 π r 2 square units. For any three-dimensional shapes, the area of the object can be categorised into three types. They are: Curved Surface Area; Lateral Surface Area; Total Surface Area; Curved Surface Area: The curved surface area is the area of all the curved regions of the solid.
1 day 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.
The surface area of a sphere is the area which covers the outer surface of the sphere. It includes both the curved surface area of a sphere and the area of the sphere’s circular base, also known as the total surface area of a sphere ( tsa ). The formula for the surface area of a sphere with radius r r is:
Jun 11, 2023 · (1) ∴Lateral surface area of the cylinder = 2πrh. = 2πr × (2r) …………from (1), ∵ h = 2r. = 4πr 2. Thus the surface area of a sphere = 4πr 2. Let us solve an example involving the above formula. Find the surface area of a sphere whose radius is 5 in. Solution: As we know, Surface Area (SA) = 4πr2, here π = 22/7 = 3.141, r = 5 in.
Jan 16, 2024 · 1. Know the parts of the equation, Surface Area = 4πr2. This nearly ancient formula is still the easiest way to determine the surface area of a sphere. [2] . Using almost any calculator, you can plug in the radius to get the surface area of your sphere.
The surface area of a sphere is given by the formula. Area. = 4. π. r. 2. Where r is the radius of the sphere. 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. This formula was discovered over two thousand years ago by the Greek philosopher Archemedes.
