How do you derive the surface area of a sphere?

How do you derive the surface area of a sphere?

How to Calculate the Surface Area of Sphere?

  1. Step 1: Note the radius of the sphere.
  2. Step 2: As we know, the surface area of sphere = 4πr2, so after substituting the value of r = 9, we get, surface area of sphere = 4πr2 = 4 × 3.14 × 92 = 4 × 3.14 × 81 = 1017.36.

How is the formula for surface area derived?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

What is the formula for the surface area of a sphere?

Surface area of a sphere: A = 4πr²,where r stands for the radius of the sphere.

  • Surface area of a cube: A = 6a²,where a is the side length.
  • Surface area of a cylinder: A = 2πr²+2πrh,where r is the radius and h is the height of the cylinder.
  • Surface area of a cone: A = πr²+πr√ (r²+h²),where r is the radius and h is the height of the cone.

    • How to find the surface area of a sphere?

    Formula. π = Pi = 3.14159…

  • Radius of Sphere. Enter the radius of a sphere. The radius is the distance between the centre and any point on the surface of a sphere.
  • Surface Area of Sphere. This is the total area of the surface of a sphere with the specified radius.

    • How do you find the area of a sphere?

    Curved Surface Area

  • Lateral Surface Area
  • Total Surface Area

    • What is the total area of a sphere?

    We can find the total surface area of a sphere by using the following formula: SA = 4 π r 2 where r is the radius. NOTE: The value of π can never be calculated exactly, so the surface area of a sphere is only a approximation. Surface area of sphere in terms of diameter = πd 2 where d is the diameter of the sphere.