blakeberns026 blakeberns026
  • 05-04-2022
  • Mathematics
contestada

What is the volume of a sphere with a diameter of 50 cm

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jdoe0001 jdoe0001
  • 05-04-2022

since we know the diameter is 50, then its radius is half that or 25.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}[/tex]

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