Respuesta :

230285

Answer:

9/2π

=14.13716694

Step-by-step explanation:

The equation of the volume of the sphere:

V=4/3πr^3

If the diameter is 3cm, the radius is divided by 2, so 1.5cm.

Plug that in, 4/3π1.5^3

Use a calculator:

9/2π

=14.13716694

  • Answer:

[tex]14,14~cm^{3}[/tex]

  • Step-by-step explanation:

d = 3cm = 2r => r = d/2 = 3cm/2 = 1,5 cm

[tex]V=\frac{4}{3}\pi*r^{3}\\\\=\frac{4}{3}*\frac{22}{7}*3.375cm^{3}\\ \\=\frac{4*22*3.375}{21}cm^{3}\\ \\=\frac{297}{21}cm^{3}\\ \\[/tex]

≈ [tex]14,14~cm^{3}[/tex]