kelliems1378 kelliems1378
  • 10-06-2021
  • Mathematics
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What is the radius of a sphere with a volume of 996 cm 3 , 996 cm 3 , to the nearest tenth of a centimeter?

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nuuk nuuk
  • 10-06-2021

Answer: [tex]6.2\ cm[/tex]

Step-by-step explanation:

Given

The volume of the sphere is [tex]V=996\ cm^3[/tex]

Volume of sphere is given by [tex]V=\dfrac{4}{3}\pi r^3[/tex]

Insert the values

[tex]\Rightarrow 996=\dfrac{4}{3}\times \dfrac{22}{7}r^3\\\\\Rightarrow r^3=\dfrac{996\times 21}{88}\\\\\Rightarrow r=6.2\ cm[/tex]

Thus, the radius of the sphere is [tex]6.2\ cm[/tex]

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