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Error Analysis Your friend says that the volume of this sphere is 44.58

m3. Find the correct volume, using 3.14 for r. What mistake might your
friend have made?

Error Analysis Your friend says that the volume of this sphere is 44.58 m3. Find the-example-1

1 Answer

10 votes

Answer:

  • the given dimension was used as the radius
  • 5.57 m³

Explanation:

The volume of a sphere can be found using the formula ...

V = 4/3πr³ . . . . . where r is the radius

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The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.

If 2.2 m is used as the radius, the volume is computed to be ...

V = 4/3π(2.2 m)³ ≈ 44.58 m³

This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

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The correct volume, using 2.2 m as the diameter, is ...

V = 4/3π(1.1 m)³ ≈ 5.57 m³

answered
User Purushottam Sadh
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