ksparmenter ksparmenter
  • 07-02-2018
  • Mathematics
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What is the volume of this sphere? Use 3.14 for pi and round to the nearest hundredth when necessary.

What is the volume of this sphere Use 314 for pi and round to the nearest hundredth when necessary class=
What is the volume of this sphere Use 314 for pi and round to the nearest hundredth when necessary class=

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jdoe0001 jdoe0001
  • 07-02-2018
if the "diameter" of the sphere is 28 cm, then the radius is half that, or r =14 cm, therefore

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \boxed{r=14}\qquad V=\cfrac{4\cdot \pi \cdot 14^3}{3}\implies V=\cfrac{10976\pi }{3}[/tex]
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MsEHolt MsEHolt
  • 13-02-2019

Answer:

11488.21 cm³

Step-by-step explanation:

The formula for the volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex]

The diameter is 28; this means the radius is 28/2 = 14.  Using 3.14 for π, we have

V = 4/3(3.14)(14³) = 11488.21

Answer Link

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