BlairZ59965 BlairZ59965
  • 31-10-2022
  • Mathematics
contestada

What is the radius of a sphere with a volume of 996 cm", to thenearest tenth of a centimeter?

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JurgenN378729 JurgenN378729
  • 31-10-2022

The volume of a sphere is:

Since we know V = 996 cm^3, then we need to find r

[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ r^3=\frac{3}{4}\cdot\frac{V}{\pi} \\ r=\sqrt[3]{\frac{3}{4}\cdot\frac{V}{\pi}} \\ r=\sqrt[3]{\frac{3}{4}\cdot\frac{996}{\pi}} \end{gathered}[/tex]

The value of r is 6.195, but approaching to the nearst tenth, r = 6.2

Ver imagen JurgenN378729
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