contestada

a spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. which expression gives the volume a sphere in cubic centimeters?

Respuesta :

calculista

Answer:

[tex]V=\frac{2,048}{3}\pi\ cm^3[/tex]

Step-by-step explanation:

we know that

The volume of the sphere is given by the formula

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

we have that

[tex]r=16/2=8\ cm[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (8)^{3}[/tex]

[tex]V=\frac{2,048}{3}\pi\ cm^3[/tex]

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