Search results
Surface Area of Sphere. A sphere is the 3- D shape where the curved surface area equals to the total surface area of the figure. The curved surface area is the area in which only the area of the curved part is covered. The formula does not take into account the circular base.
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.
So, in the formula, surface area of Sphere = 2πrh; 'h' can be replaced by the diameter, that is, 2r. Hence, surface area of sphere is 2πrh = 2πr (2r) = 4πr 2. Formula of Surface Area of Sphere. The formula of the surface area of the sphere depends on the radius of the sphere. If the radius of the sphere is r and the surface area of the sphere is S.
3 days ago · 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. S = \int_a^b \sqrt { \left (\frac {dy} {dt}\right)^2 + \left ( \frac {dx} {dt}\right)^2 } \, dt.
4 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. Verify the result using our area ...
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.
Jun 11, 2023 · Formulas. The basic formula is given below: With Radius. Surface Area of a Sphere. Let us derive the formula of surface area. Derivation. According to Archimedes, if a sphere and a cylinder have equal radius, ‘ r ’, then, Surface area of a sphere = Lateral surface area of a cylinder. Thus,
