Mathematics
Grade-8
Easy

Question

Find the volume of a sphere with the radius of 1 inches.

  1. 4.2 in³
  2. 4 in³
  3. 5 in³
  4. 4.19 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: 4.19 in³


    Given that the radius of the sphere is r equals 1 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 1 inches, we get: V equals 4 over 3 cross times straight pi cross times 1 cubed equals 4.19 space text in end text cubed.
    Therefore, the volume of the given sphere is approximately, 4.19 space text in end text cubed.

    Note that, here, we can substitute straight pi equals 3.14 space text or end text space 22 over 7 to find the volume of the given sphere using the formula V equals 4 over 3 πr cubed.

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