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What is the total surface area of a sphere of radius r?

What is the total surface area of a sphere of radius r?

4πr2
Therefore, the Surface Area of a Sphere with radius r equals 4πr2 .

How do you find the total surface area of a sphere?

The steps to calculate the surface area of a sphere is:

  1. Step 1: Know the radius of the sphere.
  2. Step 2: Take the square of the radius by multiplying it by itself.
  3. Step 3: Multiply r2 by 4.
  4. Step 4: Multiply the value of 4r2 by the approximate value of pi, that is, 3.14.
  5. Step 5: At last, add the units to the final answer.

How do you find surface area with radius?

To calculate the surface area of a sphere, all you need to know is the sphere’s radius – or its diameter. A = 4 * π * r² where r is the radius.

What is CSA and TSA of sphere?

Surface area (TSA) = CSA = 4πr2. Hemisphere : Curved surface area(CSA) = 2 π r2. Total surface area = TSA = 3 π r2.

How area of sphere is 4 Pi r 2?

The Area of a Sphere is equal to the Square of the Radius of the sphere multiplied by 12.566 ( 4 × π) or Pi times the Diameter squared ( π × D × D ). This number will be in square inches or square millimeters, depending on the measurement system used.

What is a total surface area?

The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The sum of the areas of the rectangle and the two circles is the total surface area.

What is the formula of a surface area?

Variables:

Surface Area Formula Surface Area Meaning
SA=2B+Ph Find the area of each face. Add up all areas.
SA=B+12sP Find the area of each face. Add up all areas.
SA=2B+2πrh Find the area of the base, times 2, then add the areas to the areas of the rectangle, which is the circumference times the height.

What is the formula for finding surface area?

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.

Why TSA and CSA are same for sphere?

Since the sphere is a complete curved shape therefore the curved surface area is equal to the total area of sphere.

What formula is 4 pi r 2?

The surface area of a sphere of radius r is 4pi r^2; its volume is 4/3 pi r^3.