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

Mathematics

1 answer:

Maurinko [17]2 years ago

6 0

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

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.

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

V = 4/3π(1.1 m)³ ≈ 5.57 m³

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