Question

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

Answer 1

Answer:

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

Step-by-step 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