Using the given information, the radius of the sphere to the nearest meter is 13m
From the question, we are to determine the radius of the sphere
Using the formula for calculating the volume of a sphere,
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Where V is the volume
and r is the radius
From the given information,
V = 9198 m³
Then,
[tex]9198 = \frac{4}{3} \times \pi r^{3}[/tex]
[tex]9198 = \frac{4}{3} \times 3.14 \times r^{3}[/tex]
[tex]4 \times 3.14 \times r^{3} = 9198 \times 3[/tex]
[tex]4 \times 3.14 \times r^{3} = 27594[/tex]
[tex]r^{3} = \frac{27594}{4 \times 3.14}[/tex]
[tex]r = \sqrt[3]{\frac{27594}{4\times 3.14} }[/tex]
r = 12.99995 m
r ≅ 13 m
Hence, the radius of the sphere to the nearest meter is 13m.
Learn more on Calculating volume of a sphere here: https://brainly.com/question/21209558
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