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Volume and surface area of sphere...

Volume and surface area of sphere

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Volume and Surface Area of Sphere

A sphere is a solid object having a curved surface in a manner that every point on the surface is equidistant from the centre. A sphere is a round geometrical object in three-dimensional space, just like a surface of a ball. We are familiar with the 2-Dimensional geometrical shape called a circle, a sphere is a three-dimensional figure, and it can be defined as a set of points lying at the same distance from the centre point in the three-dimensional space. The points that lie on the opposite sides of a sphere is termed as "antipodes".

Surface Area of a Sphere

The surface area of a sphere is characterized as the measure of space covered by the sphere surface. A sphere is a three-dimensional solid object with a round structure. Sphere has a three-dimensional structure that forms by turning a disk that is round with one of the diagonals. To understand the concept of the surface area better, let us take an example of painting a ball. To paint the entire surface of the ball, the quantity of paint required has to be known beforehand. Thus the area of each face has to be known to ascertain the paint amount for painting the same. We characterize this term as the total surface area. The surface area of a sphere is equivalent to the areas of the entire face enclosing it.

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Knowledge Check

  • If the volume and surface area of a sphere are numerically the same then its radius is---

    A
    1 unit
    B
    2 units
    C
    3 units
    D
    4 units
  • If the volume and surface area of a sphere are numerically the same, then its radius is

    A
    1 units
    B
    2 units
    C
    3 units
    D
    4 units
  • Assertion (A) : The volume and surface Area of a sphere are related to each other by radius. Reason (R) : Relation between Surface Area S and Volume V is S^(3) = 36 pi V^(2) .

    A
    Both A and R are true and R is the correct explanation of A.
    B
    Both A and R are true and R is not the correct explanation of A.
    C
    A is true but R is false
    D
    A is false but R is true
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