Respuesta :

fieryanswererft

Answer:

256 cm³

Explanation:

[tex]\sf Volume\:of\:sphere=\dfrac{4}{3} \pi (radius)^3[/tex]

Here given:

  • diameter: 8 cm
  • radius: diameter/2 = 8/2 = 4 cm

Solve for volume:

[tex]\sf Volume\:of\:sphere=\dfrac{4}{3} \pi (4)^3[/tex]

take π as 3

[tex]\sf Volume\:of\:sphere=\dfrac{4}{3} (3) (4)^3[/tex]

simplify exponent

[tex]\sf Volume\:of\:sphere=\dfrac{4}{3} (3) (64)[/tex]

evaluate following

[tex]\sf Volume\:of\:sphere=4(64) = 256 \ cm^3[/tex]