BriseydaL619150 BriseydaL619150
  • 03-11-2022
  • Mathematics
contestada

Hi can you help me with this question real quick please

Hi can you help me with this question real quick please class=

Respuesta :

DixonS412511 DixonS412511
  • 03-11-2022

The volume of a sphere is given by

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

where V denotes the volume and r the radius. In our case,

[tex]r=\frac{3}{2}in[/tex]

Then, by substituting this value into the formula, we have

[tex]V=\frac{4}{3}\pi(\frac{3}{2})^3[/tex]

which gives

[tex]\begin{gathered} V=\frac{4}{3}\pi\frac{3^3}{2^3} \\ V=4\pi\frac{3^2}{8} \\ V=\pi\frac{9}{2} \end{gathered}[/tex]

By taking Pi as 3.14, we get

[tex]V=14.13in^3[/tex]

So , by rounding to the nearest tenth, the answer is 14.1 cubic inches.

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