Mathematics
Grade-8
Easy

Question

Find the volume of a sphere with the radius of 2 inches.

  1. 56.5 in³
  2. 26 in³
  3. 28 in³
  4. 33.5 in³

hintHint:

Here, in this problem, the radius of the sphere is given. We are to find its volume and for this, we have to use the formula for calculating the volume of a sphere with a given radius. The formula for finding the volume V of a sphere of radius r is V equals 4 over 3 πr cubed.

The correct answer is: 33.5 in³


    Given that the radius of the sphere is r equals 2 inches.
    We have to find the volume of this sphere.
    We know that the volume V of a sphere of radius r is V equals 4 over 3 πr cubed.
    So, for r equals 2 inches, we get (put straight pi equals 22 over 7): V equals 4 over 3 cross times 22 over 7 cross times 2 cubed equals 33.52 space text in end text cubed.
    Therefore, the volume of the given sphere is approximately 33.5 space text in end text cubed.

    Note that the value of straight pi is taken as 22 over 7 which is an approximate value of straight pi. Though it is not exact, we can use this to find the value of a mathematical expression. We can take the value of straight pi as 3.14 also.

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