A sphere has a diameter of 8 cm. Which statements about the sphere are true? CHECK ALL THAT APPLY.
A) The sphere has a radius of 4 cm.
B) The sphere has a radius of 16 cm.
C) The diameter’s length is twice the length of the radius.
D) The radius’s length is twice the length of the diameter.
E) The volume of the sphere is 2048/3 π cm^3
F) The volume of the sphere is 256/3 π cm^3

Respuesta :

AL2006

A sphere has a diameter of 8 cm.

A) The sphere has a radius of 4 cm.

C) The diameter’s length is twice the length of the radius.

F) The volume of the sphere is 256/3 π cm^3

The correct statements about the radius of the sphere are as follows;

The radius of the sphere is 4cm.

The diameter’s length is twice the length of the radius.

The volume of the sphere is 256/3 π cm^3.

What is the radius of the sphere?

The radius of the sphere is equal to half of the diameter of the sphere.

[tex]\rm Radius = \dfrac{Diameter}{2}[/tex]

The correct statements about the sphere are as follows;

1. The radius of the sphere is;

[tex]\rm Radius = \dfrac{Diameter}{2}\\\\\rm Radius = \dfrac{8}{2}\\\\Radius=4\ cm[/tex]

The radius of the sphere is 4cm.

2. The radius of the sphere is 4cm and the sphere has a diameter of 8 cm.

The diameter’s length is twice the length of the radius.

3. The volume of the sphere is;

[tex]\rm Volume = \dfrac{4}{3}\pi r^3\\\\Volume = \dfrac{4}{3}\pi \times (4)^3\\\\Volume = \dfrac{4}{3}\pi \times 64\\\\Volume =\dfrac{256}{3}\pi[/tex]

The volume of the sphere is 256/3 π cm^3.

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