Seudónimo Seudónimo
  • 16-01-2021
  • Mathematics
contestada

What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?

Respuesta :

s28479608 s28479608
  • 16-01-2021

Answer:

8.97

Step-by-step explanation:

Answer Link
SkiffMackinaw SkiffMackinaw
  • 16-01-2021

Answer:

[tex]r=9.0\:\mathrm{cm}[/tex]

Step-by-step explanation:

The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:

[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].

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