hmriley72 hmriley72
  • 30-10-2021
  • Mathematics
contestada

What is the diameter of a sphere with a volume of 170 m to the third, to the nearest tenth of a
meter?

Respuesta :

Аноним Аноним
  • 30-10-2021

Let radius be r

[tex]\\ \sf\longmapsto V=170[/tex]

[tex]\\ \sf\longmapsto \dfrac{4}{3}\pi r^3=170[/tex]

[tex]\\ \sf\longmapsto \pi r^3=170(3/4)=127.5[/tex]

[tex]\\ \sf\longmapsto r^3=127.5/\pi=127.5\div 3.14[/tex]

[tex]\\ \sf\longmapsto r^3=40.6[/tex]

[tex]\\ \sf\longmapsto r=\sqrt[3]{40.6}[/tex]

[tex]\\ \sf\longmapsto r=3.3m[/tex]

  • Diameter=2r=2(3.3)=6.6m
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